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Simplifying 3(3x + -6) = 6(4x + -8) + -5x Reorder the terms: 3(-6 + 3x) = 6(4x + -8) + -5x (-6 * 3 + 3x * 3) = 6(4x + -8) + -5x (-18 + 9x) = 6(4x + -8) + -5x Reorder the terms: -18 + 9x = 6(-8 + 4x) + -5x -18 + 9x = (-8 * 6 + 4x * 6) + -5x -18 + 9x = (-48 + 24x) + -5x Combine like terms: 24x + -5x = 19x -18 + 9x = -48 + 19x Solving -18 + 9x = -48 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -18 + 9x + -19x = -48 + 19x + -19x Combine like terms: 9x + -19x = -10x -18 + -10x = -48 + 19x + -19x Combine like terms: 19x + -19x = 0 -18 + -10x = -48 + 0 -18 + -10x = -48 Add '18' to each side of the equation. -18 + 18 + -10x = -48 + 18 Combine like terms: -18 + 18 = 0 0 + -10x = -48 + 18 -10x = -48 + 18 Combine like terms: -48 + 18 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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