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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 = 4x -18 + 4x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 4x = -12 + 0 -18 + 4x = -12 Add '18' to each side of the equation. -18 + 18 + 4x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -12 + 18 4x = -12 + 18 Combine like terms: -12 + 18 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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