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Simplifying 4x + x + 3 = 12 + 3(x + -2) Reorder the terms: 3 + 4x + x = 12 + 3(x + -2) Combine like terms: 4x + x = 5x 3 + 5x = 12 + 3(x + -2) Reorder the terms: 3 + 5x = 12 + 3(-2 + x) 3 + 5x = 12 + (-2 * 3 + x * 3) 3 + 5x = 12 + (-6 + 3x) Combine like terms: 12 + -6 = 6 3 + 5x = 6 + 3x Solving 3 + 5x = 6 + 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. 3 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x 3 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 2x = 6 + 0 3 + 2x = 6 Add '-3' to each side of the equation. 3 + -3 + 2x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 6 + -3 2x = 6 + -3 Combine like terms: 6 + -3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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