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Simplifying 4x + -2(x + -5) = -9 + 5x + 13 Reorder the terms: 4x + -2(-5 + x) = -9 + 5x + 13 4x + (-5 * -2 + x * -2) = -9 + 5x + 13 4x + (10 + -2x) = -9 + 5x + 13 Reorder the terms: 10 + 4x + -2x = -9 + 5x + 13 Combine like terms: 4x + -2x = 2x 10 + 2x = -9 + 5x + 13 Reorder the terms: 10 + 2x = -9 + 13 + 5x Combine like terms: -9 + 13 = 4 10 + 2x = 4 + 5x Solving 10 + 2x = 4 + 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 = 4 + 5x + -5x Combine like terms: 2x + -5x = -3x 10 + -3x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -3x = 4 + 0 10 + -3x = 4 Add '-10' to each side of the equation. 10 + -10 + -3x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 4 + -10 -3x = 4 + -10 Combine like terms: 4 + -10 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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