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Simplifying 3(1 + -2x) + 4 = -5(x + -1) (1 * 3 + -2x * 3) + 4 = -5(x + -1) (3 + -6x) + 4 = -5(x + -1) Reorder the terms: 3 + 4 + -6x = -5(x + -1) Combine like terms: 3 + 4 = 7 7 + -6x = -5(x + -1) Reorder the terms: 7 + -6x = -5(-1 + x) 7 + -6x = (-1 * -5 + x * -5) 7 + -6x = (5 + -5x) Solving 7 + -6x = 5 + -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. 7 + -6x + 5x = 5 + -5x + 5x Combine like terms: -6x + 5x = -1x 7 + -1x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + -1x = 5 + 0 7 + -1x = 5 Add '-7' to each side of the equation. 7 + -7 + -1x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 5 + -7 -1x = 5 + -7 Combine like terms: 5 + -7 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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