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Simplifying 15 + (2x + -3) = 10x + -1(2x + -2) Reorder the terms: 15 + (-3 + 2x) = 10x + -1(2x + -2) Remove parenthesis around (-3 + 2x) 15 + -3 + 2x = 10x + -1(2x + -2) Combine like terms: 15 + -3 = 12 12 + 2x = 10x + -1(2x + -2) Reorder the terms: 12 + 2x = 10x + -1(-2 + 2x) 12 + 2x = 10x + (-2 * -1 + 2x * -1) 12 + 2x = 10x + (2 + -2x) Reorder the terms: 12 + 2x = 2 + 10x + -2x Combine like terms: 10x + -2x = 8x 12 + 2x = 2 + 8x Solving 12 + 2x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 2x + -8x = 2 + 8x + -8x Combine like terms: 2x + -8x = -6x 12 + -6x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -6x = 2 + 0 12 + -6x = 2 Add '-12' to each side of the equation. 12 + -12 + -6x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 2 + -12 -6x = 2 + -12 Combine like terms: 2 + -12 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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