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Simplifying 4(5 + -6x) + 26 = -8(x + -5) (5 * 4 + -6x * 4) + 26 = -8(x + -5) (20 + -24x) + 26 = -8(x + -5) Reorder the terms: 20 + 26 + -24x = -8(x + -5) Combine like terms: 20 + 26 = 46 46 + -24x = -8(x + -5) Reorder the terms: 46 + -24x = -8(-5 + x) 46 + -24x = (-5 * -8 + x * -8) 46 + -24x = (40 + -8x) Solving 46 + -24x = 40 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 46 + -24x + 8x = 40 + -8x + 8x Combine like terms: -24x + 8x = -16x 46 + -16x = 40 + -8x + 8x Combine like terms: -8x + 8x = 0 46 + -16x = 40 + 0 46 + -16x = 40 Add '-46' to each side of the equation. 46 + -46 + -16x = 40 + -46 Combine like terms: 46 + -46 = 0 0 + -16x = 40 + -46 -16x = 40 + -46 Combine like terms: 40 + -46 = -6 -16x = -6 Divide each side by '-16'. x = 0.375 Simplifying x = 0.375
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