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Simplifying 32 + -7x = 5(x + 8) Reorder the terms: 32 + -7x = 5(8 + x) 32 + -7x = (8 * 5 + x * 5) 32 + -7x = (40 + 5x) Solving 32 + -7x = 40 + 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 + -7x + -5x = 40 + 5x + -5x Combine like terms: -7x + -5x = -12x 32 + -12x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + -12x = 40 + 0 32 + -12x = 40 Add '-32' to each side of the equation. 32 + -32 + -12x = 40 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = 40 + -32 -12x = 40 + -32 Combine like terms: 40 + -32 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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