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Simplifying 2(4 + -3x) = 2(2x + 3) (4 * 2 + -3x * 2) = 2(2x + 3) (8 + -6x) = 2(2x + 3) Reorder the terms: 8 + -6x = 2(3 + 2x) 8 + -6x = (3 * 2 + 2x * 2) 8 + -6x = (6 + 4x) Solving 8 + -6x = 6 + 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 = 6 + 4x + -4x Combine like terms: -6x + -4x = -10x 8 + -10x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -10x = 6 + 0 8 + -10x = 6 Add '-8' to each side of the equation. 8 + -8 + -10x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 6 + -8 -10x = 6 + -8 Combine like terms: 6 + -8 = -2 -10x = -2 Divide each side by '-10'. x = 0.2 Simplifying x = 0.2
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