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Simplifying 3x + -2(x + 3) = -1(2x + 15) Reorder the terms: 3x + -2(3 + x) = -1(2x + 15) 3x + (3 * -2 + x * -2) = -1(2x + 15) 3x + (-6 + -2x) = -1(2x + 15) Reorder the terms: -6 + 3x + -2x = -1(2x + 15) Combine like terms: 3x + -2x = 1x -6 + 1x = -1(2x + 15) Reorder the terms: -6 + 1x = -1(15 + 2x) -6 + 1x = (15 * -1 + 2x * -1) -6 + 1x = (-15 + -2x) Solving -6 + 1x = -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 + 1x + 2x = -15 + -2x + 2x Combine like terms: 1x + 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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