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Simplifying 2x + -4(x + -2) = 6x + 18 + -12x Reorder the terms: 2x + -4(-2 + x) = 6x + 18 + -12x 2x + (-2 * -4 + x * -4) = 6x + 18 + -12x 2x + (8 + -4x) = 6x + 18 + -12x Reorder the terms: 8 + 2x + -4x = 6x + 18 + -12x Combine like terms: 2x + -4x = -2x 8 + -2x = 6x + 18 + -12x Reorder the terms: 8 + -2x = 18 + 6x + -12x Combine like terms: 6x + -12x = -6x 8 + -2x = 18 + -6x Solving 8 + -2x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -2x + 6x = 18 + -6x + 6x Combine like terms: -2x + 6x = 4x 8 + 4x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 4x = 18 + 0 8 + 4x = 18 Add '-8' to each side of the equation. 8 + -8 + 4x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 18 + -8 4x = 18 + -8 Combine like terms: 18 + -8 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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