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Simplifying 4x + 2 = 6 + -3(x + 1) Reorder the terms: 2 + 4x = 6 + -3(x + 1) Reorder the terms: 2 + 4x = 6 + -3(1 + x) 2 + 4x = 6 + (1 * -3 + x * -3) 2 + 4x = 6 + (-3 + -3x) Combine like terms: 6 + -3 = 3 2 + 4x = 3 + -3x Solving 2 + 4x = 3 + -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 = 3 + -3x + 3x Combine like terms: 4x + 3x = 7x 2 + 7x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 7x = 3 + 0 2 + 7x = 3 Add '-2' to each side of the equation. 2 + -2 + 7x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 3 + -2 7x = 3 + -2 Combine like terms: 3 + -2 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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