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Simplifying 4x + -2(x + -5) = -4 + 5x + -7 Reorder the terms: 4x + -2(-5 + x) = -4 + 5x + -7 4x + (-5 * -2 + x * -2) = -4 + 5x + -7 4x + (10 + -2x) = -4 + 5x + -7 Reorder the terms: 10 + 4x + -2x = -4 + 5x + -7 Combine like terms: 4x + -2x = 2x 10 + 2x = -4 + 5x + -7 Reorder the terms: 10 + 2x = -4 + -7 + 5x Combine like terms: -4 + -7 = -11 10 + 2x = -11 + 5x Solving 10 + 2x = -11 + 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 = -11 + 5x + -5x Combine like terms: 2x + -5x = -3x 10 + -3x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -3x = -11 + 0 10 + -3x = -11 Add '-10' to each side of the equation. 10 + -10 + -3x = -11 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -11 + -10 -3x = -11 + -10 Combine like terms: -11 + -10 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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