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Simplifying 6(5x + -4) + 4(18 + -5x) = 3(3x + 3) + -5 Reorder the terms: 6(-4 + 5x) + 4(18 + -5x) = 3(3x + 3) + -5 (-4 * 6 + 5x * 6) + 4(18 + -5x) = 3(3x + 3) + -5 (-24 + 30x) + 4(18 + -5x) = 3(3x + 3) + -5 -24 + 30x + (18 * 4 + -5x * 4) = 3(3x + 3) + -5 -24 + 30x + (72 + -20x) = 3(3x + 3) + -5 Reorder the terms: -24 + 72 + 30x + -20x = 3(3x + 3) + -5 Combine like terms: -24 + 72 = 48 48 + 30x + -20x = 3(3x + 3) + -5 Combine like terms: 30x + -20x = 10x 48 + 10x = 3(3x + 3) + -5 Reorder the terms: 48 + 10x = 3(3 + 3x) + -5 48 + 10x = (3 * 3 + 3x * 3) + -5 48 + 10x = (9 + 9x) + -5 Reorder the terms: 48 + 10x = 9 + -5 + 9x Combine like terms: 9 + -5 = 4 48 + 10x = 4 + 9x Solving 48 + 10x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 48 + 10x + -9x = 4 + 9x + -9x Combine like terms: 10x + -9x = 1x 48 + 1x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 48 + 1x = 4 + 0 48 + 1x = 4 Add '-48' to each side of the equation. 48 + -48 + 1x = 4 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = 4 + -48 1x = 4 + -48 Combine like terms: 4 + -48 = -44 1x = -44 Divide each side by '1'. x = -44 Simplifying x = -44
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