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Simplifying 3(3x + -6) + -2(4x + -6) = 5x + 7 Reorder the terms: 3(-6 + 3x) + -2(4x + -6) = 5x + 7 (-6 * 3 + 3x * 3) + -2(4x + -6) = 5x + 7 (-18 + 9x) + -2(4x + -6) = 5x + 7 Reorder the terms: -18 + 9x + -2(-6 + 4x) = 5x + 7 -18 + 9x + (-6 * -2 + 4x * -2) = 5x + 7 -18 + 9x + (12 + -8x) = 5x + 7 Reorder the terms: -18 + 12 + 9x + -8x = 5x + 7 Combine like terms: -18 + 12 = -6 -6 + 9x + -8x = 5x + 7 Combine like terms: 9x + -8x = 1x -6 + 1x = 5x + 7 Reorder the terms: -6 + 1x = 7 + 5x Solving -6 + 1x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 1x + -5x = 7 + 5x + -5x Combine like terms: 1x + -5x = -4x -6 + -4x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -4x = 7 + 0 -6 + -4x = 7 Add '6' to each side of the equation. -6 + 6 + -4x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 7 + 6 -4x = 7 + 6 Combine like terms: 7 + 6 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25
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