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Simplifying 3(2x + -4) + 6(x + -5) = -3(5 + -5x) + 5x + -9 Reorder the terms: 3(-4 + 2x) + 6(x + -5) = -3(5 + -5x) + 5x + -9 (-4 * 3 + 2x * 3) + 6(x + -5) = -3(5 + -5x) + 5x + -9 (-12 + 6x) + 6(x + -5) = -3(5 + -5x) + 5x + -9 Reorder the terms: -12 + 6x + 6(-5 + x) = -3(5 + -5x) + 5x + -9 -12 + 6x + (-5 * 6 + x * 6) = -3(5 + -5x) + 5x + -9 -12 + 6x + (-30 + 6x) = -3(5 + -5x) + 5x + -9 Reorder the terms: -12 + -30 + 6x + 6x = -3(5 + -5x) + 5x + -9 Combine like terms: -12 + -30 = -42 -42 + 6x + 6x = -3(5 + -5x) + 5x + -9 Combine like terms: 6x + 6x = 12x -42 + 12x = -3(5 + -5x) + 5x + -9 -42 + 12x = (5 * -3 + -5x * -3) + 5x + -9 -42 + 12x = (-15 + 15x) + 5x + -9 Reorder the terms: -42 + 12x = -15 + -9 + 15x + 5x Combine like terms: -15 + -9 = -24 -42 + 12x = -24 + 15x + 5x Combine like terms: 15x + 5x = 20x -42 + 12x = -24 + 20x Solving -42 + 12x = -24 + 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 = -24 + 20x + -20x Combine like terms: 12x + -20x = -8x -42 + -8x = -24 + 20x + -20x Combine like terms: 20x + -20x = 0 -42 + -8x = -24 + 0 -42 + -8x = -24 Add '42' to each side of the equation. -42 + 42 + -8x = -24 + 42 Combine like terms: -42 + 42 = 0 0 + -8x = -24 + 42 -8x = -24 + 42 Combine like terms: -24 + 42 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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