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Simplifying 4(x + 3) = 2 + -1(x + 5) Reorder the terms: 4(3 + x) = 2 + -1(x + 5) (3 * 4 + x * 4) = 2 + -1(x + 5) (12 + 4x) = 2 + -1(x + 5) Reorder the terms: 12 + 4x = 2 + -1(5 + x) 12 + 4x = 2 + (5 * -1 + x * -1) 12 + 4x = 2 + (-5 + -1x) Combine like terms: 2 + -5 = -3 12 + 4x = -3 + -1x Solving 12 + 4x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + 4x + x = -3 + -1x + x Combine like terms: 4x + x = 5x 12 + 5x = -3 + -1x + x Combine like terms: -1x + x = 0 12 + 5x = -3 + 0 12 + 5x = -3 Add '-12' to each side of the equation. 12 + -12 + 5x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -3 + -12 5x = -3 + -12 Combine like terms: -3 + -12 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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