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Simplifying 4x + -2(x + -5) = -7 + 5x + 8 Reorder the terms: 4x + -2(-5 + x) = -7 + 5x + 8 4x + (-5 * -2 + x * -2) = -7 + 5x + 8 4x + (10 + -2x) = -7 + 5x + 8 Reorder the terms: 10 + 4x + -2x = -7 + 5x + 8 Combine like terms: 4x + -2x = 2x 10 + 2x = -7 + 5x + 8 Reorder the terms: 10 + 2x = -7 + 8 + 5x Combine like terms: -7 + 8 = 1 10 + 2x = 1 + 5x Solving 10 + 2x = 1 + 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. 10 + 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x 10 + -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -3x = 1 + 0 10 + -3x = 1 Add '-10' to each side of the equation. 10 + -10 + -3x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 1 + -10 -3x = 1 + -10 Combine like terms: 1 + -10 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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