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Simplifying 32 + 8x = 8(-5 + 4x) 32 + 8x = (-5 * 8 + 4x * 8) 32 + 8x = (-40 + 32x) Solving 32 + 8x = -40 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 32 + 8x + -32x = -40 + 32x + -32x Combine like terms: 8x + -32x = -24x 32 + -24x = -40 + 32x + -32x Combine like terms: 32x + -32x = 0 32 + -24x = -40 + 0 32 + -24x = -40 Add '-32' to each side of the equation. 32 + -32 + -24x = -40 + -32 Combine like terms: 32 + -32 = 0 0 + -24x = -40 + -32 -24x = -40 + -32 Combine like terms: -40 + -32 = -72 -24x = -72 Divide each side by '-24'. x = 3 Simplifying x = 3
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