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Simplifying 2 + 5(x + -4) = 8 + -3(x + -9) + 6x Reorder the terms: 2 + 5(-4 + x) = 8 + -3(x + -9) + 6x 2 + (-4 * 5 + x * 5) = 8 + -3(x + -9) + 6x 2 + (-20 + 5x) = 8 + -3(x + -9) + 6x Combine like terms: 2 + -20 = -18 -18 + 5x = 8 + -3(x + -9) + 6x Reorder the terms: -18 + 5x = 8 + -3(-9 + x) + 6x -18 + 5x = 8 + (-9 * -3 + x * -3) + 6x -18 + 5x = 8 + (27 + -3x) + 6x Combine like terms: 8 + 27 = 35 -18 + 5x = 35 + -3x + 6x Combine like terms: -3x + 6x = 3x -18 + 5x = 35 + 3x Solving -18 + 5x = 35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 5x + -3x = 35 + 3x + -3x Combine like terms: 5x + -3x = 2x -18 + 2x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 2x = 35 + 0 -18 + 2x = 35 Add '18' to each side of the equation. -18 + 18 + 2x = 35 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 35 + 18 2x = 35 + 18 Combine like terms: 35 + 18 = 53 2x = 53 Divide each side by '2'. x = 26.5 Simplifying x = 26.5
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