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Simplifying 2(1 + -1x) + 3(4 + -1x) = 5(x + -3) (1 * 2 + -1x * 2) + 3(4 + -1x) = 5(x + -3) (2 + -2x) + 3(4 + -1x) = 5(x + -3) 2 + -2x + (4 * 3 + -1x * 3) = 5(x + -3) 2 + -2x + (12 + -3x) = 5(x + -3) Reorder the terms: 2 + 12 + -2x + -3x = 5(x + -3) Combine like terms: 2 + 12 = 14 14 + -2x + -3x = 5(x + -3) Combine like terms: -2x + -3x = -5x 14 + -5x = 5(x + -3) Reorder the terms: 14 + -5x = 5(-3 + x) 14 + -5x = (-3 * 5 + x * 5) 14 + -5x = (-15 + 5x) Solving 14 + -5x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -5x + -5x = -15 + 5x + -5x Combine like terms: -5x + -5x = -10x 14 + -10x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -10x = -15 + 0 14 + -10x = -15 Add '-14' to each side of the equation. 14 + -14 + -10x = -15 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = -15 + -14 -10x = -15 + -14 Combine like terms: -15 + -14 = -29 -10x = -29 Divide each side by '-10'. x = 2.9 Simplifying x = 2.9
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