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Simplifying -2(2x + -2) + 7x = 2(5x + -4) + 26 Reorder the terms: -2(-2 + 2x) + 7x = 2(5x + -4) + 26 (-2 * -2 + 2x * -2) + 7x = 2(5x + -4) + 26 (4 + -4x) + 7x = 2(5x + -4) + 26 Combine like terms: -4x + 7x = 3x 4 + 3x = 2(5x + -4) + 26 Reorder the terms: 4 + 3x = 2(-4 + 5x) + 26 4 + 3x = (-4 * 2 + 5x * 2) + 26 4 + 3x = (-8 + 10x) + 26 Reorder the terms: 4 + 3x = -8 + 26 + 10x Combine like terms: -8 + 26 = 18 4 + 3x = 18 + 10x Solving 4 + 3x = 18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 3x + -10x = 18 + 10x + -10x Combine like terms: 3x + -10x = -7x 4 + -7x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -7x = 18 + 0 4 + -7x = 18 Add '-4' to each side of the equation. 4 + -4 + -7x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 18 + -4 -7x = 18 + -4 Combine like terms: 18 + -4 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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