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Simplifying 3(2x + -6) + 6(x + -4) = -3(5 + -5x) + 5x + -17 Reorder the terms: 3(-6 + 2x) + 6(x + -4) = -3(5 + -5x) + 5x + -17 (-6 * 3 + 2x * 3) + 6(x + -4) = -3(5 + -5x) + 5x + -17 (-18 + 6x) + 6(x + -4) = -3(5 + -5x) + 5x + -17 Reorder the terms: -18 + 6x + 6(-4 + x) = -3(5 + -5x) + 5x + -17 -18 + 6x + (-4 * 6 + x * 6) = -3(5 + -5x) + 5x + -17 -18 + 6x + (-24 + 6x) = -3(5 + -5x) + 5x + -17 Reorder the terms: -18 + -24 + 6x + 6x = -3(5 + -5x) + 5x + -17 Combine like terms: -18 + -24 = -42 -42 + 6x + 6x = -3(5 + -5x) + 5x + -17 Combine like terms: 6x + 6x = 12x -42 + 12x = -3(5 + -5x) + 5x + -17 -42 + 12x = (5 * -3 + -5x * -3) + 5x + -17 -42 + 12x = (-15 + 15x) + 5x + -17 Reorder the terms: -42 + 12x = -15 + -17 + 15x + 5x Combine like terms: -15 + -17 = -32 -42 + 12x = -32 + 15x + 5x Combine like terms: 15x + 5x = 20x -42 + 12x = -32 + 20x Solving -42 + 12x = -32 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -42 + 12x + -20x = -32 + 20x + -20x Combine like terms: 12x + -20x = -8x -42 + -8x = -32 + 20x + -20x Combine like terms: 20x + -20x = 0 -42 + -8x = -32 + 0 -42 + -8x = -32 Add '42' to each side of the equation. -42 + 42 + -8x = -32 + 42 Combine like terms: -42 + 42 = 0 0 + -8x = -32 + 42 -8x = -32 + 42 Combine like terms: -32 + 42 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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