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Simplifying 4(3 + x) + -2 = 3x + 11 (3 * 4 + x * 4) + -2 = 3x + 11 (12 + 4x) + -2 = 3x + 11 Reorder the terms: 12 + -2 + 4x = 3x + 11 Combine like terms: 12 + -2 = 10 10 + 4x = 3x + 11 Reorder the terms: 10 + 4x = 11 + 3x Solving 10 + 4x = 11 + 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. 10 + 4x + -3x = 11 + 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x = 11 + 0 10 + 1x = 11 Add '-10' to each side of the equation. 10 + -10 + 1x = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 11 + -10 1x = 11 + -10 Combine like terms: 11 + -10 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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