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Simplifying 4(3x + 2) + -6x = 2(3 + x) + 6 Reorder the terms: 4(2 + 3x) + -6x = 2(3 + x) + 6 (2 * 4 + 3x * 4) + -6x = 2(3 + x) + 6 (8 + 12x) + -6x = 2(3 + x) + 6 Combine like terms: 12x + -6x = 6x 8 + 6x = 2(3 + x) + 6 8 + 6x = (3 * 2 + x * 2) + 6 8 + 6x = (6 + 2x) + 6 Reorder the terms: 8 + 6x = 6 + 6 + 2x Combine like terms: 6 + 6 = 12 8 + 6x = 12 + 2x Solving 8 + 6x = 12 + 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. 8 + 6x + -2x = 12 + 2x + -2x Combine like terms: 6x + -2x = 4x 8 + 4x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 4x = 12 + 0 8 + 4x = 12 Add '-8' to each side of the equation. 8 + -8 + 4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 12 + -8 4x = 12 + -8 Combine like terms: 12 + -8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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