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Simplifying -26 = -8(5 + -1x) + 2(-4 + 7x) -26 = (5 * -8 + -1x * -8) + 2(-4 + 7x) -26 = (-40 + 8x) + 2(-4 + 7x) -26 = -40 + 8x + (-4 * 2 + 7x * 2) -26 = -40 + 8x + (-8 + 14x) Reorder the terms: -26 = -40 + -8 + 8x + 14x Combine like terms: -40 + -8 = -48 -26 = -48 + 8x + 14x Combine like terms: 8x + 14x = 22x -26 = -48 + 22x Solving -26 = -48 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -26 + -22x = -48 + 22x + -22x Combine like terms: 22x + -22x = 0 -26 + -22x = -48 + 0 -26 + -22x = -48 Add '26' to each side of the equation. -26 + 26 + -22x = -48 + 26 Combine like terms: -26 + 26 = 0 0 + -22x = -48 + 26 -22x = -48 + 26 Combine like terms: -48 + 26 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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