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Simplifying 2(5 + -1x) = 3x + 6 + -1x (5 * 2 + -1x * 2) = 3x + 6 + -1x (10 + -2x) = 3x + 6 + -1x Reorder the terms: 10 + -2x = 6 + 3x + -1x Combine like terms: 3x + -1x = 2x 10 + -2x = 6 + 2x Solving 10 + -2x = 6 + 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 + -2x + -2x = 6 + 2x + -2x Combine like terms: -2x + -2x = -4x 10 + -4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -4x = 6 + 0 10 + -4x = 6 Add '-10' to each side of the equation. 10 + -10 + -4x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 6 + -10 -4x = 6 + -10 Combine like terms: 6 + -10 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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