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Simplifying 4(2x + 5) + -2x + 6 = 2(2x + 10) + -10 + 8 Reorder the terms: 4(5 + 2x) + -2x + 6 = 2(2x + 10) + -10 + 8 (5 * 4 + 2x * 4) + -2x + 6 = 2(2x + 10) + -10 + 8 (20 + 8x) + -2x + 6 = 2(2x + 10) + -10 + 8 Reorder the terms: 20 + 6 + 8x + -2x = 2(2x + 10) + -10 + 8 Combine like terms: 20 + 6 = 26 26 + 8x + -2x = 2(2x + 10) + -10 + 8 Combine like terms: 8x + -2x = 6x 26 + 6x = 2(2x + 10) + -10 + 8 Reorder the terms: 26 + 6x = 2(10 + 2x) + -10 + 8 26 + 6x = (10 * 2 + 2x * 2) + -10 + 8 26 + 6x = (20 + 4x) + -10 + 8 Reorder the terms: 26 + 6x = 20 + -10 + 8 + 4x Combine like terms: 20 + -10 = 10 26 + 6x = 10 + 8 + 4x Combine like terms: 10 + 8 = 18 26 + 6x = 18 + 4x Solving 26 + 6x = 18 + 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. 26 + 6x + -4x = 18 + 4x + -4x Combine like terms: 6x + -4x = 2x 26 + 2x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + 2x = 18 + 0 26 + 2x = 18 Add '-26' to each side of the equation. 26 + -26 + 2x = 18 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 18 + -26 2x = 18 + -26 Combine like terms: 18 + -26 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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