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Simplifying -2(x + -4) + -3(2x + 3) = 12x Reorder the terms: -2(-4 + x) + -3(2x + 3) = 12x (-4 * -2 + x * -2) + -3(2x + 3) = 12x (8 + -2x) + -3(2x + 3) = 12x Reorder the terms: 8 + -2x + -3(3 + 2x) = 12x 8 + -2x + (3 * -3 + 2x * -3) = 12x 8 + -2x + (-9 + -6x) = 12x Reorder the terms: 8 + -9 + -2x + -6x = 12x Combine like terms: 8 + -9 = -1 -1 + -2x + -6x = 12x Combine like terms: -2x + -6x = -8x -1 + -8x = 12x Solving -1 + -8x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + -8x + -12x = 12x + -12x Combine like terms: -8x + -12x = -20x -1 + -20x = 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -20x = 0 Add '1' to each side of the equation. -1 + 1 + -20x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -20x = 0 + 1 -20x = 0 + 1 Combine like terms: 0 + 1 = 1 -20x = 1 Divide each side by '-20'. x = -0.05 Simplifying x = -0.05
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