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Simplifying 2(4 + -3x) = 4x + -2 (4 * 2 + -3x * 2) = 4x + -2 (8 + -6x) = 4x + -2 Reorder the terms: 8 + -6x = -2 + 4x Solving 8 + -6x = -2 + 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 = -2 + 4x + -4x Combine like terms: -6x + -4x = -10x 8 + -10x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -10x = -2 + 0 8 + -10x = -2 Add '-8' to each side of the equation. 8 + -8 + -10x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -2 + -8 -10x = -2 + -8 Combine like terms: -2 + -8 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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