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Simplifying 2((-1x) + 3) + 3(-1x) = 2(-1x) + 15 Reorder the terms: 2(3 + (-1x)) + 3(-1x) = 2(-1x) + 15 (3 * 2 + (-1x) * 2) + 3(-1x) = 2(-1x) + 15 (6 + -2x) + 3(-1x) = 2(-1x) + 15 Remove parenthesis around (-1x) 6 + -2x + 3 * -1x = 2(-1x) + 15 Multiply 3 * -1 6 + -2x + -3x = 2(-1x) + 15 Combine like terms: -2x + -3x = -5x 6 + -5x = 2(-1x) + 15 Remove parenthesis around (-1x) 6 + -5x = 2 * -1x + 15 Multiply 2 * -1 6 + -5x = -2x + 15 Reorder the terms: 6 + -5x = 15 + -2x Solving 6 + -5x = 15 + -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. 6 + -5x + 2x = 15 + -2x + 2x Combine like terms: -5x + 2x = -3x 6 + -3x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -3x = 15 + 0 6 + -3x = 15 Add '-6' to each side of the equation. 6 + -6 + -3x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 15 + -6 -3x = 15 + -6 Combine like terms: 15 + -6 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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