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Simplifying 5(2 + -1x) + -1x = 2(x + 1) (2 * 5 + -1x * 5) + -1x = 2(x + 1) (10 + -5x) + -1x = 2(x + 1) Combine like terms: -5x + -1x = -6x 10 + -6x = 2(x + 1) Reorder the terms: 10 + -6x = 2(1 + x) 10 + -6x = (1 * 2 + x * 2) 10 + -6x = (2 + 2x) Solving 10 + -6x = 2 + 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 = 2 + 2x + -2x Combine like terms: -6x + -2x = -8x 10 + -8x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -8x = 2 + 0 10 + -8x = 2 Add '-10' to each side of the equation. 10 + -10 + -8x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 2 + -10 -8x = 2 + -10 Combine like terms: 2 + -10 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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