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Simplifying 2 + -3(x + 4) = -9(2x + 1) + 4 Reorder the terms: 2 + -3(4 + x) = -9(2x + 1) + 4 2 + (4 * -3 + x * -3) = -9(2x + 1) + 4 2 + (-12 + -3x) = -9(2x + 1) + 4 Combine like terms: 2 + -12 = -10 -10 + -3x = -9(2x + 1) + 4 Reorder the terms: -10 + -3x = -9(1 + 2x) + 4 -10 + -3x = (1 * -9 + 2x * -9) + 4 -10 + -3x = (-9 + -18x) + 4 Reorder the terms: -10 + -3x = -9 + 4 + -18x Combine like terms: -9 + 4 = -5 -10 + -3x = -5 + -18x Solving -10 + -3x = -5 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -10 + -3x + 18x = -5 + -18x + 18x Combine like terms: -3x + 18x = 15x -10 + 15x = -5 + -18x + 18x Combine like terms: -18x + 18x = 0 -10 + 15x = -5 + 0 -10 + 15x = -5 Add '10' to each side of the equation. -10 + 10 + 15x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = -5 + 10 15x = -5 + 10 Combine like terms: -5 + 10 = 5 15x = 5 Divide each side by '15'. x = 0.3333333333 Simplifying x = 0.3333333333
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