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Simplifying -8(32x + 13) = 26(16 + -6x) Reorder the terms: -8(13 + 32x) = 26(16 + -6x) (13 * -8 + 32x * -8) = 26(16 + -6x) (-104 + -256x) = 26(16 + -6x) -104 + -256x = (16 * 26 + -6x * 26) -104 + -256x = (416 + -156x) Solving -104 + -256x = 416 + -156x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '156x' to each side of the equation. -104 + -256x + 156x = 416 + -156x + 156x Combine like terms: -256x + 156x = -100x -104 + -100x = 416 + -156x + 156x Combine like terms: -156x + 156x = 0 -104 + -100x = 416 + 0 -104 + -100x = 416 Add '104' to each side of the equation. -104 + 104 + -100x = 416 + 104 Combine like terms: -104 + 104 = 0 0 + -100x = 416 + 104 -100x = 416 + 104 Combine like terms: 416 + 104 = 520 -100x = 520 Divide each side by '-100'. x = -5.2 Simplifying x = -5.2
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