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Simplifying 1 + -3x + -2(x + -1) = 5(1 + -2x) + 7 Reorder the terms: 1 + -3x + -2(-1 + x) = 5(1 + -2x) + 7 1 + -3x + (-1 * -2 + x * -2) = 5(1 + -2x) + 7 1 + -3x + (2 + -2x) = 5(1 + -2x) + 7 Reorder the terms: 1 + 2 + -3x + -2x = 5(1 + -2x) + 7 Combine like terms: 1 + 2 = 3 3 + -3x + -2x = 5(1 + -2x) + 7 Combine like terms: -3x + -2x = -5x 3 + -5x = 5(1 + -2x) + 7 3 + -5x = (1 * 5 + -2x * 5) + 7 3 + -5x = (5 + -10x) + 7 Reorder the terms: 3 + -5x = 5 + 7 + -10x Combine like terms: 5 + 7 = 12 3 + -5x = 12 + -10x Solving 3 + -5x = 12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 3 + -5x + 10x = 12 + -10x + 10x Combine like terms: -5x + 10x = 5x 3 + 5x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 5x = 12 + 0 3 + 5x = 12 Add '-3' to each side of the equation. 3 + -3 + 5x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 12 + -3 5x = 12 + -3 Combine like terms: 12 + -3 = 9 5x = 9 Divide each side by '5'. x = 1.8 Simplifying x = 1.8
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