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Simplifying 10 + 2(3x + -3) = 15 + -1(2x + -5) Reorder the terms: 10 + 2(-3 + 3x) = 15 + -1(2x + -5) 10 + (-3 * 2 + 3x * 2) = 15 + -1(2x + -5) 10 + (-6 + 6x) = 15 + -1(2x + -5) Combine like terms: 10 + -6 = 4 4 + 6x = 15 + -1(2x + -5) Reorder the terms: 4 + 6x = 15 + -1(-5 + 2x) 4 + 6x = 15 + (-5 * -1 + 2x * -1) 4 + 6x = 15 + (5 + -2x) Combine like terms: 15 + 5 = 20 4 + 6x = 20 + -2x Solving 4 + 6x = 20 + -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 + 6x + 2x = 20 + -2x + 2x Combine like terms: 6x + 2x = 8x 4 + 8x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 8x = 20 + 0 4 + 8x = 20 Add '-4' to each side of the equation. 4 + -4 + 8x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 20 + -4 8x = 20 + -4 Combine like terms: 20 + -4 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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