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Simplifying 4(13x + 8) = -8(x + -2) Reorder the terms: 4(8 + 13x) = -8(x + -2) (8 * 4 + 13x * 4) = -8(x + -2) (32 + 52x) = -8(x + -2) Reorder the terms: 32 + 52x = -8(-2 + x) 32 + 52x = (-2 * -8 + x * -8) 32 + 52x = (16 + -8x) Solving 32 + 52x = 16 + -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. 32 + 52x + 8x = 16 + -8x + 8x Combine like terms: 52x + 8x = 60x 32 + 60x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + 60x = 16 + 0 32 + 60x = 16 Add '-32' to each side of the equation. 32 + -32 + 60x = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 60x = 16 + -32 60x = 16 + -32 Combine like terms: 16 + -32 = -16 60x = -16 Divide each side by '60'. x = -0.2666666667 Simplifying x = -0.2666666667
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