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Simplifying 4(x + 3) = x + 2(x + 1) Reorder the terms: 4(3 + x) = x + 2(x + 1) (3 * 4 + x * 4) = x + 2(x + 1) (12 + 4x) = x + 2(x + 1) Reorder the terms: 12 + 4x = x + 2(1 + x) 12 + 4x = x + (1 * 2 + x * 2) 12 + 4x = x + (2 + 2x) Reorder the terms: 12 + 4x = 2 + x + 2x Combine like terms: x + 2x = 3x 12 + 4x = 2 + 3x Solving 12 + 4x = 2 + 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. 12 + 4x + -3x = 2 + 3x + -3x Combine like terms: 4x + -3x = 1x 12 + 1x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 1x = 2 + 0 12 + 1x = 2 Add '-12' to each side of the equation. 12 + -12 + 1x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 2 + -12 1x = 2 + -12 Combine like terms: 2 + -12 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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