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Simplifying 4(2x + -1) + -3(3x + -1) = 12 Reorder the terms: 4(-1 + 2x) + -3(3x + -1) = 12 (-1 * 4 + 2x * 4) + -3(3x + -1) = 12 (-4 + 8x) + -3(3x + -1) = 12 Reorder the terms: -4 + 8x + -3(-1 + 3x) = 12 -4 + 8x + (-1 * -3 + 3x * -3) = 12 -4 + 8x + (3 + -9x) = 12 Reorder the terms: -4 + 3 + 8x + -9x = 12 Combine like terms: -4 + 3 = -1 -1 + 8x + -9x = 12 Combine like terms: 8x + -9x = -1x -1 + -1x = 12 Solving -1 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 12 + 1 -1x = 12 + 1 Combine like terms: 12 + 1 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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