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Simplifying 2(x + 6) + 14 = 4(x + -2) + 20 Reorder the terms: 2(6 + x) + 14 = 4(x + -2) + 20 (6 * 2 + x * 2) + 14 = 4(x + -2) + 20 (12 + 2x) + 14 = 4(x + -2) + 20 Reorder the terms: 12 + 14 + 2x = 4(x + -2) + 20 Combine like terms: 12 + 14 = 26 26 + 2x = 4(x + -2) + 20 Reorder the terms: 26 + 2x = 4(-2 + x) + 20 26 + 2x = (-2 * 4 + x * 4) + 20 26 + 2x = (-8 + 4x) + 20 Reorder the terms: 26 + 2x = -8 + 20 + 4x Combine like terms: -8 + 20 = 12 26 + 2x = 12 + 4x Solving 26 + 2x = 12 + 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 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x 26 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + -2x = 12 + 0 26 + -2x = 12 Add '-26' to each side of the equation. 26 + -26 + -2x = 12 + -26 Combine like terms: 26 + -26 = 0 0 + -2x = 12 + -26 -2x = 12 + -26 Combine like terms: 12 + -26 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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