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Simplifying 3(6x + -5) + -2(4x + -12) = 9x + 12 Reorder the terms: 3(-5 + 6x) + -2(4x + -12) = 9x + 12 (-5 * 3 + 6x * 3) + -2(4x + -12) = 9x + 12 (-15 + 18x) + -2(4x + -12) = 9x + 12 Reorder the terms: -15 + 18x + -2(-12 + 4x) = 9x + 12 -15 + 18x + (-12 * -2 + 4x * -2) = 9x + 12 -15 + 18x + (24 + -8x) = 9x + 12 Reorder the terms: -15 + 24 + 18x + -8x = 9x + 12 Combine like terms: -15 + 24 = 9 9 + 18x + -8x = 9x + 12 Combine like terms: 18x + -8x = 10x 9 + 10x = 9x + 12 Reorder the terms: 9 + 10x = 12 + 9x Solving 9 + 10x = 12 + 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. 9 + 10x + -9x = 12 + 9x + -9x Combine like terms: 10x + -9x = 1x 9 + 1x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + 1x = 12 + 0 9 + 1x = 12 Add '-9' to each side of the equation. 9 + -9 + 1x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 12 + -9 1x = 12 + -9 Combine like terms: 12 + -9 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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