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Simplifying 8(x + 4) + -7x = 20 + 5x Reorder the terms: 8(4 + x) + -7x = 20 + 5x (4 * 8 + x * 8) + -7x = 20 + 5x (32 + 8x) + -7x = 20 + 5x Combine like terms: 8x + -7x = 1x 32 + 1x = 20 + 5x Solving 32 + 1x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + 1x + -5x = 20 + 5x + -5x Combine like terms: 1x + -5x = -4x 32 + -4x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + -4x = 20 + 0 32 + -4x = 20 Add '-32' to each side of the equation. 32 + -32 + -4x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 20 + -32 -4x = 20 + -32 Combine like terms: 20 + -32 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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