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Simplifying 3x + 2(4x + -6) = 18 + x Reorder the terms: 3x + 2(-6 + 4x) = 18 + x 3x + (-6 * 2 + 4x * 2) = 18 + x 3x + (-12 + 8x) = 18 + x Reorder the terms: -12 + 3x + 8x = 18 + x Combine like terms: 3x + 8x = 11x -12 + 11x = 18 + x Solving -12 + 11x = 18 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 11x + -1x = 18 + x + -1x Combine like terms: 11x + -1x = 10x -12 + 10x = 18 + x + -1x Combine like terms: x + -1x = 0 -12 + 10x = 18 + 0 -12 + 10x = 18 Add '12' to each side of the equation. -12 + 12 + 10x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 18 + 12 10x = 18 + 12 Combine like terms: 18 + 12 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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