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Simplifying 4x + 2 = 6 + -1(3x + -6) Reorder the terms: 2 + 4x = 6 + -1(3x + -6) Reorder the terms: 2 + 4x = 6 + -1(-6 + 3x) 2 + 4x = 6 + (-6 * -1 + 3x * -1) 2 + 4x = 6 + (6 + -3x) Combine like terms: 6 + 6 = 12 2 + 4x = 12 + -3x Solving 2 + 4x = 12 + -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. 2 + 4x + 3x = 12 + -3x + 3x Combine like terms: 4x + 3x = 7x 2 + 7x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 7x = 12 + 0 2 + 7x = 12 Add '-2' to each side of the equation. 2 + -2 + 7x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 12 + -2 7x = 12 + -2 Combine like terms: 12 + -2 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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