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Simplifying 3x + -4(2x + -3) = 18 + -8x Reorder the terms: 3x + -4(-3 + 2x) = 18 + -8x 3x + (-3 * -4 + 2x * -4) = 18 + -8x 3x + (12 + -8x) = 18 + -8x Reorder the terms: 12 + 3x + -8x = 18 + -8x Combine like terms: 3x + -8x = -5x 12 + -5x = 18 + -8x Solving 12 + -5x = 18 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + -5x + 8x = 18 + -8x + 8x Combine like terms: -5x + 8x = 3x 12 + 3x = 18 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 3x = 18 + 0 12 + 3x = 18 Add '-12' to each side of the equation. 12 + -12 + 3x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 18 + -12 3x = 18 + -12 Combine like terms: 18 + -12 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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