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Simplifying 2(3x + -6) + 6(x + -2) = -3(3 + -5x) + 5x + -1 Reorder the terms: 2(-6 + 3x) + 6(x + -2) = -3(3 + -5x) + 5x + -1 (-6 * 2 + 3x * 2) + 6(x + -2) = -3(3 + -5x) + 5x + -1 (-12 + 6x) + 6(x + -2) = -3(3 + -5x) + 5x + -1 Reorder the terms: -12 + 6x + 6(-2 + x) = -3(3 + -5x) + 5x + -1 -12 + 6x + (-2 * 6 + x * 6) = -3(3 + -5x) + 5x + -1 -12 + 6x + (-12 + 6x) = -3(3 + -5x) + 5x + -1 Reorder the terms: -12 + -12 + 6x + 6x = -3(3 + -5x) + 5x + -1 Combine like terms: -12 + -12 = -24 -24 + 6x + 6x = -3(3 + -5x) + 5x + -1 Combine like terms: 6x + 6x = 12x -24 + 12x = -3(3 + -5x) + 5x + -1 -24 + 12x = (3 * -3 + -5x * -3) + 5x + -1 -24 + 12x = (-9 + 15x) + 5x + -1 Reorder the terms: -24 + 12x = -9 + -1 + 15x + 5x Combine like terms: -9 + -1 = -10 -24 + 12x = -10 + 15x + 5x Combine like terms: 15x + 5x = 20x -24 + 12x = -10 + 20x Solving -24 + 12x = -10 + 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. -24 + 12x + -20x = -10 + 20x + -20x Combine like terms: 12x + -20x = -8x -24 + -8x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -24 + -8x = -10 + 0 -24 + -8x = -10 Add '24' to each side of the equation. -24 + 24 + -8x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = -10 + 24 -8x = -10 + 24 Combine like terms: -10 + 24 = 14 -8x = 14 Divide each side by '-8'. x = -1.75 Simplifying x = -1.75
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