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Simplifying 3(2x + 6) + -4x = 2(5x + -2) + 6 Reorder the terms: 3(6 + 2x) + -4x = 2(5x + -2) + 6 (6 * 3 + 2x * 3) + -4x = 2(5x + -2) + 6 (18 + 6x) + -4x = 2(5x + -2) + 6 Combine like terms: 6x + -4x = 2x 18 + 2x = 2(5x + -2) + 6 Reorder the terms: 18 + 2x = 2(-2 + 5x) + 6 18 + 2x = (-2 * 2 + 5x * 2) + 6 18 + 2x = (-4 + 10x) + 6 Reorder the terms: 18 + 2x = -4 + 6 + 10x Combine like terms: -4 + 6 = 2 18 + 2x = 2 + 10x Solving 18 + 2x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 2x + -10x = 2 + 10x + -10x Combine like terms: 2x + -10x = -8x 18 + -8x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -8x = 2 + 0 18 + -8x = 2 Add '-18' to each side of the equation. 18 + -18 + -8x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = 2 + -18 -8x = 2 + -18 Combine like terms: 2 + -18 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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