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Simplifying 4x + -2(x + -2) = -7 + 5x + -10 Reorder the terms: 4x + -2(-2 + x) = -7 + 5x + -10 4x + (-2 * -2 + x * -2) = -7 + 5x + -10 4x + (4 + -2x) = -7 + 5x + -10 Reorder the terms: 4 + 4x + -2x = -7 + 5x + -10 Combine like terms: 4x + -2x = 2x 4 + 2x = -7 + 5x + -10 Reorder the terms: 4 + 2x = -7 + -10 + 5x Combine like terms: -7 + -10 = -17 4 + 2x = -17 + 5x Solving 4 + 2x = -17 + 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. 4 + 2x + -5x = -17 + 5x + -5x Combine like terms: 2x + -5x = -3x 4 + -3x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -3x = -17 + 0 4 + -3x = -17 Add '-4' to each side of the equation. 4 + -4 + -3x = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -17 + -4 -3x = -17 + -4 Combine like terms: -17 + -4 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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