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Simplifying 4x + -2(x + -1) + 7 = 5(x + -2) + 10 Reorder the terms: 4x + -2(-1 + x) + 7 = 5(x + -2) + 10 4x + (-1 * -2 + x * -2) + 7 = 5(x + -2) + 10 4x + (2 + -2x) + 7 = 5(x + -2) + 10 Reorder the terms: 2 + 7 + 4x + -2x = 5(x + -2) + 10 Combine like terms: 2 + 7 = 9 9 + 4x + -2x = 5(x + -2) + 10 Combine like terms: 4x + -2x = 2x 9 + 2x = 5(x + -2) + 10 Reorder the terms: 9 + 2x = 5(-2 + x) + 10 9 + 2x = (-2 * 5 + x * 5) + 10 9 + 2x = (-10 + 5x) + 10 Reorder the terms: 9 + 2x = -10 + 10 + 5x Combine like terms: -10 + 10 = 0 9 + 2x = 0 + 5x 9 + 2x = 5x Solving 9 + 2x = 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. 9 + 2x + -5x = 5x + -5x Combine like terms: 2x + -5x = -3x 9 + -3x = 5x + -5x Combine like terms: 5x + -5x = 0 9 + -3x = 0 Add '-9' to each side of the equation. 9 + -9 + -3x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 0 + -9 -3x = 0 + -9 Combine like terms: 0 + -9 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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