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Simplifying 2(4 + -3x) = 2(2x + 5) (4 * 2 + -3x * 2) = 2(2x + 5) (8 + -6x) = 2(2x + 5) Reorder the terms: 8 + -6x = 2(5 + 2x) 8 + -6x = (5 * 2 + 2x * 2) 8 + -6x = (10 + 4x) Solving 8 + -6x = 10 + 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 = 10 + 4x + -4x Combine like terms: -6x + -4x = -10x 8 + -10x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -10x = 10 + 0 8 + -10x = 10 Add '-8' to each side of the equation. 8 + -8 + -10x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 10 + -8 -10x = 10 + -8 Combine like terms: 10 + -8 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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