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Simplifying 2(5 + -3x) = 2(6 + -1x) (5 * 2 + -3x * 2) = 2(6 + -1x) (10 + -6x) = 2(6 + -1x) 10 + -6x = (6 * 2 + -1x * 2) 10 + -6x = (12 + -2x) Solving 10 + -6x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + -6x + 2x = 12 + -2x + 2x Combine like terms: -6x + 2x = -4x 10 + -4x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -4x = 12 + 0 10 + -4x = 12 Add '-10' to each side of the equation. 10 + -10 + -4x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 12 + -10 -4x = 12 + -10 Combine like terms: 12 + -10 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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