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Simplifying -4(3 + 3) + x = 3(x + 2) + -18 + -6x Combine like terms: 3 + 3 = 6 -4(6) + x = 3(x + 2) + -18 + -6x Multiply -4 * 6 -24 + x = 3(x + 2) + -18 + -6x Reorder the terms: -24 + x = 3(2 + x) + -18 + -6x -24 + x = (2 * 3 + x * 3) + -18 + -6x -24 + x = (6 + 3x) + -18 + -6x Reorder the terms: -24 + x = 6 + -18 + 3x + -6x Combine like terms: 6 + -18 = -12 -24 + x = -12 + 3x + -6x Combine like terms: 3x + -6x = -3x -24 + x = -12 + -3x Solving -24 + x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + x + 3x = -12 + -3x + 3x Combine like terms: x + 3x = 4x -24 + 4x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 4x = -12 + 0 -24 + 4x = -12 Add '24' to each side of the equation. -24 + 24 + 4x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -12 + 24 4x = -12 + 24 Combine like terms: -12 + 24 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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