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Simplifying 4(x + 1) = 12 + -3(x + -2) Reorder the terms: 4(1 + x) = 12 + -3(x + -2) (1 * 4 + x * 4) = 12 + -3(x + -2) (4 + 4x) = 12 + -3(x + -2) Reorder the terms: 4 + 4x = 12 + -3(-2 + x) 4 + 4x = 12 + (-2 * -3 + x * -3) 4 + 4x = 12 + (6 + -3x) Combine like terms: 12 + 6 = 18 4 + 4x = 18 + -3x Solving 4 + 4x = 18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 4x + 3x = 18 + -3x + 3x Combine like terms: 4x + 3x = 7x 4 + 7x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 7x = 18 + 0 4 + 7x = 18 Add '-4' to each side of the equation. 4 + -4 + 7x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 18 + -4 7x = 18 + -4 Combine like terms: 18 + -4 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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