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Simplifying 5(x + 13) = 8(x + 4) Reorder the terms: 5(13 + x) = 8(x + 4) (13 * 5 + x * 5) = 8(x + 4) (65 + 5x) = 8(x + 4) Reorder the terms: 65 + 5x = 8(4 + x) 65 + 5x = (4 * 8 + x * 8) 65 + 5x = (32 + 8x) Solving 65 + 5x = 32 + 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. 65 + 5x + -8x = 32 + 8x + -8x Combine like terms: 5x + -8x = -3x 65 + -3x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 65 + -3x = 32 + 0 65 + -3x = 32 Add '-65' to each side of the equation. 65 + -65 + -3x = 32 + -65 Combine like terms: 65 + -65 = 0 0 + -3x = 32 + -65 -3x = 32 + -65 Combine like terms: 32 + -65 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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