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Simplifying 10 + -3x + -1(5 + -2x) = 13 + -1(-4x + -7) 10 + -3x + (5 * -1 + -2x * -1) = 13 + -1(-4x + -7) 10 + -3x + (-5 + 2x) = 13 + -1(-4x + -7) Reorder the terms: 10 + -5 + -3x + 2x = 13 + -1(-4x + -7) Combine like terms: 10 + -5 = 5 5 + -3x + 2x = 13 + -1(-4x + -7) Combine like terms: -3x + 2x = -1x 5 + -1x = 13 + -1(-4x + -7) Reorder the terms: 5 + -1x = 13 + -1(-7 + -4x) 5 + -1x = 13 + (-7 * -1 + -4x * -1) 5 + -1x = 13 + (7 + 4x) Combine like terms: 13 + 7 = 20 5 + -1x = 20 + 4x Solving 5 + -1x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -1x + -4x = 20 + 4x + -4x Combine like terms: -1x + -4x = -5x 5 + -5x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -5x = 20 + 0 5 + -5x = 20 Add '-5' to each side of the equation. 5 + -5 + -5x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 20 + -5 -5x = 20 + -5 Combine like terms: 20 + -5 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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