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Simplifying -9x + 2(4x + 12) = 4(1 + -3x) * 13 Reorder the terms: -9x + 2(12 + 4x) = 4(1 + -3x) * 13 -9x + (12 * 2 + 4x * 2) = 4(1 + -3x) * 13 -9x + (24 + 8x) = 4(1 + -3x) * 13 Reorder the terms: 24 + -9x + 8x = 4(1 + -3x) * 13 Combine like terms: -9x + 8x = -1x 24 + -1x = 4(1 + -3x) * 13 Reorder the terms for easier multiplication: 24 + -1x = 4 * 13(1 + -3x) Multiply 4 * 13 24 + -1x = 52(1 + -3x) 24 + -1x = (1 * 52 + -3x * 52) 24 + -1x = (52 + -156x) Solving 24 + -1x = 52 + -156x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '156x' to each side of the equation. 24 + -1x + 156x = 52 + -156x + 156x Combine like terms: -1x + 156x = 155x 24 + 155x = 52 + -156x + 156x Combine like terms: -156x + 156x = 0 24 + 155x = 52 + 0 24 + 155x = 52 Add '-24' to each side of the equation. 24 + -24 + 155x = 52 + -24 Combine like terms: 24 + -24 = 0 0 + 155x = 52 + -24 155x = 52 + -24 Combine like terms: 52 + -24 = 28 155x = 28 Divide each side by '155'. x = 0.1806451613 Simplifying x = 0.1806451613
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