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Simplifying 15 + (2x + -3) = -10x + -1(3x + -2) Reorder the terms: 15 + (-3 + 2x) = -10x + -1(3x + -2) Remove parenthesis around (-3 + 2x) 15 + -3 + 2x = -10x + -1(3x + -2) Combine like terms: 15 + -3 = 12 12 + 2x = -10x + -1(3x + -2) Reorder the terms: 12 + 2x = -10x + -1(-2 + 3x) 12 + 2x = -10x + (-2 * -1 + 3x * -1) 12 + 2x = -10x + (2 + -3x) Reorder the terms: 12 + 2x = 2 + -10x + -3x Combine like terms: -10x + -3x = -13x 12 + 2x = 2 + -13x Solving 12 + 2x = 2 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 12 + 2x + 13x = 2 + -13x + 13x Combine like terms: 2x + 13x = 15x 12 + 15x = 2 + -13x + 13x Combine like terms: -13x + 13x = 0 12 + 15x = 2 + 0 12 + 15x = 2 Add '-12' to each side of the equation. 12 + -12 + 15x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = 2 + -12 15x = 2 + -12 Combine like terms: 2 + -12 = -10 15x = -10 Divide each side by '15'. x = -0.6666666667 Simplifying x = -0.6666666667
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