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Simplifying 4(3 + -1x) + 5(1 + x) = 3(x + -1) (3 * 4 + -1x * 4) + 5(1 + x) = 3(x + -1) (12 + -4x) + 5(1 + x) = 3(x + -1) 12 + -4x + (1 * 5 + x * 5) = 3(x + -1) 12 + -4x + (5 + 5x) = 3(x + -1) Reorder the terms: 12 + 5 + -4x + 5x = 3(x + -1) Combine like terms: 12 + 5 = 17 17 + -4x + 5x = 3(x + -1) Combine like terms: -4x + 5x = 1x 17 + 1x = 3(x + -1) Reorder the terms: 17 + 1x = 3(-1 + x) 17 + 1x = (-1 * 3 + x * 3) 17 + 1x = (-3 + 3x) Solving 17 + 1x = -3 + 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. 17 + 1x + -3x = -3 + 3x + -3x Combine like terms: 1x + -3x = -2x 17 + -2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -2x = -3 + 0 17 + -2x = -3 Add '-17' to each side of the equation. 17 + -17 + -2x = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -3 + -17 -2x = -3 + -17 Combine like terms: -3 + -17 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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