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Simplifying 13(4x + 4) = -8(x + -3) Reorder the terms: 13(4 + 4x) = -8(x + -3) (4 * 13 + 4x * 13) = -8(x + -3) (52 + 52x) = -8(x + -3) Reorder the terms: 52 + 52x = -8(-3 + x) 52 + 52x = (-3 * -8 + x * -8) 52 + 52x = (24 + -8x) Solving 52 + 52x = 24 + -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. 52 + 52x + 8x = 24 + -8x + 8x Combine like terms: 52x + 8x = 60x 52 + 60x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 52 + 60x = 24 + 0 52 + 60x = 24 Add '-52' to each side of the equation. 52 + -52 + 60x = 24 + -52 Combine like terms: 52 + -52 = 0 0 + 60x = 24 + -52 60x = 24 + -52 Combine like terms: 24 + -52 = -28 60x = -28 Divide each side by '60'. x = -0.4666666667 Simplifying x = -0.4666666667
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