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Simplifying 12 + -4(x + -2) = 3x + 1 Reorder the terms: 12 + -4(-2 + x) = 3x + 1 12 + (-2 * -4 + x * -4) = 3x + 1 12 + (8 + -4x) = 3x + 1 Combine like terms: 12 + 8 = 20 20 + -4x = 3x + 1 Reorder the terms: 20 + -4x = 1 + 3x Solving 20 + -4x = 1 + 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. 20 + -4x + -3x = 1 + 3x + -3x Combine like terms: -4x + -3x = -7x 20 + -7x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -7x = 1 + 0 20 + -7x = 1 Add '-20' to each side of the equation. 20 + -20 + -7x = 1 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = 1 + -20 -7x = 1 + -20 Combine like terms: 1 + -20 = -19 -7x = -19 Divide each side by '-7'. x = 2.714285714 Simplifying x = 2.714285714
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