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Simplifying 12 + 10(-1x + -5) = -3(6x + 9) + 9x Reorder the terms: 12 + 10(-5 + -1x) = -3(6x + 9) + 9x 12 + (-5 * 10 + -1x * 10) = -3(6x + 9) + 9x 12 + (-50 + -10x) = -3(6x + 9) + 9x Combine like terms: 12 + -50 = -38 -38 + -10x = -3(6x + 9) + 9x Reorder the terms: -38 + -10x = -3(9 + 6x) + 9x -38 + -10x = (9 * -3 + 6x * -3) + 9x -38 + -10x = (-27 + -18x) + 9x Combine like terms: -18x + 9x = -9x -38 + -10x = -27 + -9x Solving -38 + -10x = -27 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -38 + -10x + 9x = -27 + -9x + 9x Combine like terms: -10x + 9x = -1x -38 + -1x = -27 + -9x + 9x Combine like terms: -9x + 9x = 0 -38 + -1x = -27 + 0 -38 + -1x = -27 Add '38' to each side of the equation. -38 + 38 + -1x = -27 + 38 Combine like terms: -38 + 38 = 0 0 + -1x = -27 + 38 -1x = -27 + 38 Combine like terms: -27 + 38 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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