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Simplifying (x + -3) + -1(3x + -4) = 15 Reorder the terms: (-3 + x) + -1(3x + -4) = 15 Remove parenthesis around (-3 + x) -3 + x + -1(3x + -4) = 15 Reorder the terms: -3 + x + -1(-4 + 3x) = 15 -3 + x + (-4 * -1 + 3x * -1) = 15 -3 + x + (4 + -3x) = 15 Reorder the terms: -3 + 4 + x + -3x = 15 Combine like terms: -3 + 4 = 1 1 + x + -3x = 15 Combine like terms: x + -3x = -2x 1 + -2x = 15 Solving 1 + -2x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 15 + -1 -2x = 15 + -1 Combine like terms: 15 + -1 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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