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Simplifying 2(x + 13) = 0.75(8x + -12) Reorder the terms: 2(13 + x) = 0.75(8x + -12) (13 * 2 + x * 2) = 0.75(8x + -12) (26 + 2x) = 0.75(8x + -12) Reorder the terms: 26 + 2x = 0.75(-12 + 8x) 26 + 2x = (-12 * 0.75 + 8x * 0.75) 26 + 2x = (-9 + 6x) Solving 26 + 2x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 26 + 2x + -6x = -9 + 6x + -6x Combine like terms: 2x + -6x = -4x 26 + -4x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 26 + -4x = -9 + 0 26 + -4x = -9 Add '-26' to each side of the equation. 26 + -26 + -4x = -9 + -26 Combine like terms: 26 + -26 = 0 0 + -4x = -9 + -26 -4x = -9 + -26 Combine like terms: -9 + -26 = -35 -4x = -35 Divide each side by '-4'. x = 8.75 Simplifying x = 8.75
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