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Simplifying 4(3 + x) = 8 + -5(1 + x) (3 * 4 + x * 4) = 8 + -5(1 + x) (12 + 4x) = 8 + -5(1 + x) 12 + 4x = 8 + (1 * -5 + x * -5) 12 + 4x = 8 + (-5 + -5x) Combine like terms: 8 + -5 = 3 12 + 4x = 3 + -5x Solving 12 + 4x = 3 + -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. 12 + 4x + 5x = 3 + -5x + 5x Combine like terms: 4x + 5x = 9x 12 + 9x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 9x = 3 + 0 12 + 9x = 3 Add '-12' to each side of the equation. 12 + -12 + 9x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 3 + -12 9x = 3 + -12 Combine like terms: 3 + -12 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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