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Simplifying -24 + 3(6x + -5) = 4(2x + -3) + x Reorder the terms: -24 + 3(-5 + 6x) = 4(2x + -3) + x -24 + (-5 * 3 + 6x * 3) = 4(2x + -3) + x -24 + (-15 + 18x) = 4(2x + -3) + x Combine like terms: -24 + -15 = -39 -39 + 18x = 4(2x + -3) + x Reorder the terms: -39 + 18x = 4(-3 + 2x) + x -39 + 18x = (-3 * 4 + 2x * 4) + x -39 + 18x = (-12 + 8x) + x Combine like terms: 8x + x = 9x -39 + 18x = -12 + 9x Solving -39 + 18x = -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. -39 + 18x + -9x = -12 + 9x + -9x Combine like terms: 18x + -9x = 9x -39 + 9x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -39 + 9x = -12 + 0 -39 + 9x = -12 Add '39' to each side of the equation. -39 + 39 + 9x = -12 + 39 Combine like terms: -39 + 39 = 0 0 + 9x = -12 + 39 9x = -12 + 39 Combine like terms: -12 + 39 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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