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Simplifying 3(3x + -4) + x = 18(3x + 4) + 108 Reorder the terms: 3(-4 + 3x) + x = 18(3x + 4) + 108 (-4 * 3 + 3x * 3) + x = 18(3x + 4) + 108 (-12 + 9x) + x = 18(3x + 4) + 108 Combine like terms: 9x + x = 10x -12 + 10x = 18(3x + 4) + 108 Reorder the terms: -12 + 10x = 18(4 + 3x) + 108 -12 + 10x = (4 * 18 + 3x * 18) + 108 -12 + 10x = (72 + 54x) + 108 Reorder the terms: -12 + 10x = 72 + 108 + 54x Combine like terms: 72 + 108 = 180 -12 + 10x = 180 + 54x Solving -12 + 10x = 180 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -12 + 10x + -54x = 180 + 54x + -54x Combine like terms: 10x + -54x = -44x -12 + -44x = 180 + 54x + -54x Combine like terms: 54x + -54x = 0 -12 + -44x = 180 + 0 -12 + -44x = 180 Add '12' to each side of the equation. -12 + 12 + -44x = 180 + 12 Combine like terms: -12 + 12 = 0 0 + -44x = 180 + 12 -44x = 180 + 12 Combine like terms: 180 + 12 = 192 -44x = 192 Divide each side by '-44'. x = -4.363636364 Simplifying x = -4.363636364
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