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Simplifying 8(3 + 3x) + -12 + -9(5 + -1x) = 12 (3 * 8 + 3x * 8) + -12 + -9(5 + -1x) = 12 (24 + 24x) + -12 + -9(5 + -1x) = 12 24 + 24x + -12 + (5 * -9 + -1x * -9) = 12 24 + 24x + -12 + (-45 + 9x) = 12 Reorder the terms: 24 + -12 + -45 + 24x + 9x = 12 Combine like terms: 24 + -12 = 12 12 + -45 + 24x + 9x = 12 Combine like terms: 12 + -45 = -33 -33 + 24x + 9x = 12 Combine like terms: 24x + 9x = 33x -33 + 33x = 12 Solving -33 + 33x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 33x = 12 + 33 Combine like terms: -33 + 33 = 0 0 + 33x = 12 + 33 33x = 12 + 33 Combine like terms: 12 + 33 = 45 33x = 45 Divide each side by '33'. x = 1.363636364 Simplifying x = 1.363636364
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