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Simplifying 2(4x + -3) + 2x = -2x + 18 Reorder the terms: 2(-3 + 4x) + 2x = -2x + 18 (-3 * 2 + 4x * 2) + 2x = -2x + 18 (-6 + 8x) + 2x = -2x + 18 Combine like terms: 8x + 2x = 10x -6 + 10x = -2x + 18 Reorder the terms: -6 + 10x = 18 + -2x Solving -6 + 10x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 10x + 2x = 18 + -2x + 2x Combine like terms: 10x + 2x = 12x -6 + 12x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 12x = 18 + 0 -6 + 12x = 18 Add '6' to each side of the equation. -6 + 6 + 12x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 18 + 6 12x = 18 + 6 Combine like terms: 18 + 6 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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