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Simplifying -8(x + -3) + 2 = -6 + 26 + -2x Reorder the terms: -8(-3 + x) + 2 = -6 + 26 + -2x (-3 * -8 + x * -8) + 2 = -6 + 26 + -2x (24 + -8x) + 2 = -6 + 26 + -2x Reorder the terms: 24 + 2 + -8x = -6 + 26 + -2x Combine like terms: 24 + 2 = 26 26 + -8x = -6 + 26 + -2x Combine like terms: -6 + 26 = 20 26 + -8x = 20 + -2x Solving 26 + -8x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 26 + -8x + 2x = 20 + -2x + 2x Combine like terms: -8x + 2x = -6x 26 + -6x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 26 + -6x = 20 + 0 26 + -6x = 20 Add '-26' to each side of the equation. 26 + -26 + -6x = 20 + -26 Combine like terms: 26 + -26 = 0 0 + -6x = 20 + -26 -6x = 20 + -26 Combine like terms: 20 + -26 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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