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Simplifying x + -5(x + -2) = 10 + -1(3x + 6) Reorder the terms: x + -5(-2 + x) = 10 + -1(3x + 6) x + (-2 * -5 + x * -5) = 10 + -1(3x + 6) x + (10 + -5x) = 10 + -1(3x + 6) Reorder the terms: 10 + x + -5x = 10 + -1(3x + 6) Combine like terms: x + -5x = -4x 10 + -4x = 10 + -1(3x + 6) Reorder the terms: 10 + -4x = 10 + -1(6 + 3x) 10 + -4x = 10 + (6 * -1 + 3x * -1) 10 + -4x = 10 + (-6 + -3x) Combine like terms: 10 + -6 = 4 10 + -4x = 4 + -3x Solving 10 + -4x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + -4x + 3x = 4 + -3x + 3x Combine like terms: -4x + 3x = -1x 10 + -1x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -1x = 4 + 0 10 + -1x = 4 Add '-10' to each side of the equation. 10 + -10 + -1x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 4 + -10 -1x = 4 + -10 Combine like terms: 4 + -10 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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