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