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Simplifying 4(x + 3) + -6 = 2x + 2 Reorder the terms: 4(3 + x) + -6 = 2x + 2 (3 * 4 + x * 4) + -6 = 2x + 2 (12 + 4x) + -6 = 2x + 2 Reorder the terms: 12 + -6 + 4x = 2x + 2 Combine like terms: 12 + -6 = 6 6 + 4x = 2x + 2 Reorder the terms: 6 + 4x = 2 + 2x Solving 6 + 4x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x 6 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 2x = 2 + 0 6 + 2x = 2 Add '-6' to each side of the equation. 6 + -6 + 2x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 2 + -6 2x = 2 + -6 Combine like terms: 2 + -6 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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