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Simplifying 4x + 2(x + 3) = 8x + 12 Reorder the terms: 4x + 2(3 + x) = 8x + 12 4x + (3 * 2 + x * 2) = 8x + 12 4x + (6 + 2x) = 8x + 12 Reorder the terms: 6 + 4x + 2x = 8x + 12 Combine like terms: 4x + 2x = 6x 6 + 6x = 8x + 12 Reorder the terms: 6 + 6x = 12 + 8x Solving 6 + 6x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 6x + -8x = 12 + 8x + -8x Combine like terms: 6x + -8x = -2x 6 + -2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -2x = 12 + 0 6 + -2x = 12 Add '-6' to each side of the equation. 6 + -6 + -2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 12 + -6 -2x = 12 + -6 Combine like terms: 12 + -6 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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