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Simplifying (x + -2) * 5 + -2 + ((9 + -8x) * 3 + (5x + -12)) = 30x + 12 Reorder the terms: (-2 + x) * 5 + -2 + ((9 + -8x) * 3 + (5x + -12)) = 30x + 12 Reorder the terms for easier multiplication: 5(-2 + x) + -2 + ((9 + -8x) * 3 + (5x + -12)) = 30x + 12 (-2 * 5 + x * 5) + -2 + ((9 + -8x) * 3 + (5x + -12)) = 30x + 12 (-10 + 5x) + -2 + ((9 + -8x) * 3 + (5x + -12)) = 30x + 12 Reorder the terms for easier multiplication: -10 + 5x + -2 + (3(9 + -8x) + (5x + -12)) = 30x + 12 -10 + 5x + -2 + ((9 * 3 + -8x * 3) + (5x + -12)) = 30x + 12 -10 + 5x + -2 + ((27 + -24x) + (5x + -12)) = 30x + 12 Reorder the terms: -10 + 5x + -2 + (27 + -24x + (-12 + 5x)) = 30x + 12 Remove parenthesis around (-12 + 5x) -10 + 5x + -2 + (27 + -24x + -12 + 5x) = 30x + 12 Reorder the terms: -10 + 5x + -2 + (27 + -12 + -24x + 5x) = 30x + 12 Combine like terms: 27 + -12 = 15 -10 + 5x + -2 + (15 + -24x + 5x) = 30x + 12 Combine like terms: -24x + 5x = -19x -10 + 5x + -2 + (15 + -19x) = 30x + 12 Remove parenthesis around (15 + -19x) -10 + 5x + -2 + 15 + -19x = 30x + 12 Reorder the terms: -10 + -2 + 15 + 5x + -19x = 30x + 12 Combine like terms: -10 + -2 = -12 -12 + 15 + 5x + -19x = 30x + 12 Combine like terms: -12 + 15 = 3 3 + 5x + -19x = 30x + 12 Combine like terms: 5x + -19x = -14x 3 + -14x = 30x + 12 Reorder the terms: 3 + -14x = 12 + 30x Solving 3 + -14x = 12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 3 + -14x + -30x = 12 + 30x + -30x Combine like terms: -14x + -30x = -44x 3 + -44x = 12 + 30x + -30x Combine like terms: 30x + -30x = 0 3 + -44x = 12 + 0 3 + -44x = 12 Add '-3' to each side of the equation. 3 + -3 + -44x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -44x = 12 + -3 -44x = 12 + -3 Combine like terms: 12 + -3 = 9 -44x = 9 Divide each side by '-44'. x = -0.2045454545 Simplifying x = -0.2045454545
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