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Simplifying 13(1 + -3x) = 2(-4x + 7) (1 * 13 + -3x * 13) = 2(-4x + 7) (13 + -39x) = 2(-4x + 7) Reorder the terms: 13 + -39x = 2(7 + -4x) 13 + -39x = (7 * 2 + -4x * 2) 13 + -39x = (14 + -8x) Solving 13 + -39x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 13 + -39x + 8x = 14 + -8x + 8x Combine like terms: -39x + 8x = -31x 13 + -31x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 13 + -31x = 14 + 0 13 + -31x = 14 Add '-13' to each side of the equation. 13 + -13 + -31x = 14 + -13 Combine like terms: 13 + -13 = 0 0 + -31x = 14 + -13 -31x = 14 + -13 Combine like terms: 14 + -13 = 1 -31x = 1 Divide each side by '-31'. x = -0.03225806452 Simplifying x = -0.03225806452
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