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Simplifying 5(x + 8) + -3(x + 8) = 4(x + 8) + -3x Reorder the terms: 5(8 + x) + -3(x + 8) = 4(x + 8) + -3x (8 * 5 + x * 5) + -3(x + 8) = 4(x + 8) + -3x (40 + 5x) + -3(x + 8) = 4(x + 8) + -3x Reorder the terms: 40 + 5x + -3(8 + x) = 4(x + 8) + -3x 40 + 5x + (8 * -3 + x * -3) = 4(x + 8) + -3x 40 + 5x + (-24 + -3x) = 4(x + 8) + -3x Reorder the terms: 40 + -24 + 5x + -3x = 4(x + 8) + -3x Combine like terms: 40 + -24 = 16 16 + 5x + -3x = 4(x + 8) + -3x Combine like terms: 5x + -3x = 2x 16 + 2x = 4(x + 8) + -3x Reorder the terms: 16 + 2x = 4(8 + x) + -3x 16 + 2x = (8 * 4 + x * 4) + -3x 16 + 2x = (32 + 4x) + -3x Combine like terms: 4x + -3x = 1x 16 + 2x = 32 + 1x Solving 16 + 2x = 32 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 16 + 2x + -1x = 32 + 1x + -1x Combine like terms: 2x + -1x = 1x 16 + 1x = 32 + 1x + -1x Combine like terms: 1x + -1x = 0 16 + 1x = 32 + 0 16 + 1x = 32 Add '-16' to each side of the equation. 16 + -16 + 1x = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 32 + -16 1x = 32 + -16 Combine like terms: 32 + -16 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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