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Simplifying -2(x + 6) + 3(3x + -2) = -3(x + -4) Reorder the terms: -2(6 + x) + 3(3x + -2) = -3(x + -4) (6 * -2 + x * -2) + 3(3x + -2) = -3(x + -4) (-12 + -2x) + 3(3x + -2) = -3(x + -4) Reorder the terms: -12 + -2x + 3(-2 + 3x) = -3(x + -4) -12 + -2x + (-2 * 3 + 3x * 3) = -3(x + -4) -12 + -2x + (-6 + 9x) = -3(x + -4) Reorder the terms: -12 + -6 + -2x + 9x = -3(x + -4) Combine like terms: -12 + -6 = -18 -18 + -2x + 9x = -3(x + -4) Combine like terms: -2x + 9x = 7x -18 + 7x = -3(x + -4) Reorder the terms: -18 + 7x = -3(-4 + x) -18 + 7x = (-4 * -3 + x * -3) -18 + 7x = (12 + -3x) Solving -18 + 7x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18 + 7x + 3x = 12 + -3x + 3x Combine like terms: 7x + 3x = 10x -18 + 10x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 10x = 12 + 0 -18 + 10x = 12 Add '18' to each side of the equation. -18 + 18 + 10x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 12 + 18 10x = 12 + 18 Combine like terms: 12 + 18 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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