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Simplifying 8(x + 5) = 12x + -8 Reorder the terms: 8(5 + x) = 12x + -8 (5 * 8 + x * 8) = 12x + -8 (40 + 8x) = 12x + -8 Reorder the terms: 40 + 8x = -8 + 12x Solving 40 + 8x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 8x + -12x = -8 + 12x + -12x Combine like terms: 8x + -12x = -4x 40 + -4x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -4x = -8 + 0 40 + -4x = -8 Add '-40' to each side of the equation. 40 + -40 + -4x = -8 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = -8 + -40 -4x = -8 + -40 Combine like terms: -8 + -40 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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