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Simplifying 4(2x + 1) + -2x = 2x + 18 Reorder the terms: 4(1 + 2x) + -2x = 2x + 18 (1 * 4 + 2x * 4) + -2x = 2x + 18 (4 + 8x) + -2x = 2x + 18 Combine like terms: 8x + -2x = 6x 4 + 6x = 2x + 18 Reorder the terms: 4 + 6x = 18 + 2x Solving 4 + 6x = 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. 4 + 6x + -2x = 18 + 2x + -2x Combine like terms: 6x + -2x = 4x 4 + 4x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 4x = 18 + 0 4 + 4x = 18 Add '-4' to each side of the equation. 4 + -4 + 4x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 18 + -4 4x = 18 + -4 Combine like terms: 18 + -4 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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