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Simplifying 26 + -2(2x + 2) = 4(x + 2) + 6x Reorder the terms: 26 + -2(2 + 2x) = 4(x + 2) + 6x 26 + (2 * -2 + 2x * -2) = 4(x + 2) + 6x 26 + (-4 + -4x) = 4(x + 2) + 6x Combine like terms: 26 + -4 = 22 22 + -4x = 4(x + 2) + 6x Reorder the terms: 22 + -4x = 4(2 + x) + 6x 22 + -4x = (2 * 4 + x * 4) + 6x 22 + -4x = (8 + 4x) + 6x Combine like terms: 4x + 6x = 10x 22 + -4x = 8 + 10x Solving 22 + -4x = 8 + 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. 22 + -4x + -10x = 8 + 10x + -10x Combine like terms: -4x + -10x = -14x 22 + -14x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -14x = 8 + 0 22 + -14x = 8 Add '-22' to each side of the equation. 22 + -22 + -14x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + -14x = 8 + -22 -14x = 8 + -22 Combine like terms: 8 + -22 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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