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