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Simplifying -2(3x + 6) + 5(x + -3) = -2(5x + -3) + -6 Reorder the terms: -2(6 + 3x) + 5(x + -3) = -2(5x + -3) + -6 (6 * -2 + 3x * -2) + 5(x + -3) = -2(5x + -3) + -6 (-12 + -6x) + 5(x + -3) = -2(5x + -3) + -6 Reorder the terms: -12 + -6x + 5(-3 + x) = -2(5x + -3) + -6 -12 + -6x + (-3 * 5 + x * 5) = -2(5x + -3) + -6 -12 + -6x + (-15 + 5x) = -2(5x + -3) + -6 Reorder the terms: -12 + -15 + -6x + 5x = -2(5x + -3) + -6 Combine like terms: -12 + -15 = -27 -27 + -6x + 5x = -2(5x + -3) + -6 Combine like terms: -6x + 5x = -1x -27 + -1x = -2(5x + -3) + -6 Reorder the terms: -27 + -1x = -2(-3 + 5x) + -6 -27 + -1x = (-3 * -2 + 5x * -2) + -6 -27 + -1x = (6 + -10x) + -6 Reorder the terms: -27 + -1x = 6 + -6 + -10x Combine like terms: 6 + -6 = 0 -27 + -1x = 0 + -10x -27 + -1x = -10x Solving -27 + -1x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -27 + -1x + 10x = -10x + 10x Combine like terms: -1x + 10x = 9x -27 + 9x = -10x + 10x Combine like terms: -10x + 10x = 0 -27 + 9x = 0 Add '27' to each side of the equation. -27 + 27 + 9x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 9x = 0 + 27 9x = 0 + 27 Combine like terms: 0 + 27 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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