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Simplifying 2(3x + 4) = 6 + -2(2x + -4) Reorder the terms: 2(4 + 3x) = 6 + -2(2x + -4) (4 * 2 + 3x * 2) = 6 + -2(2x + -4) (8 + 6x) = 6 + -2(2x + -4) Reorder the terms: 8 + 6x = 6 + -2(-4 + 2x) 8 + 6x = 6 + (-4 * -2 + 2x * -2) 8 + 6x = 6 + (8 + -4x) Combine like terms: 6 + 8 = 14 8 + 6x = 14 + -4x Solving 8 + 6x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 6x + 4x = 14 + -4x + 4x Combine like terms: 6x + 4x = 10x 8 + 10x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 10x = 14 + 0 8 + 10x = 14 Add '-8' to each side of the equation. 8 + -8 + 10x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 14 + -8 10x = 14 + -8 Combine like terms: 14 + -8 = 6 10x = 6 Divide each side by '10'. x = 0.6 Simplifying x = 0.6
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