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Simplifying 5(2x + -1) + -3(1 + -1x) = 6x + -1 Reorder the terms: 5(-1 + 2x) + -3(1 + -1x) = 6x + -1 (-1 * 5 + 2x * 5) + -3(1 + -1x) = 6x + -1 (-5 + 10x) + -3(1 + -1x) = 6x + -1 -5 + 10x + (1 * -3 + -1x * -3) = 6x + -1 -5 + 10x + (-3 + 3x) = 6x + -1 Reorder the terms: -5 + -3 + 10x + 3x = 6x + -1 Combine like terms: -5 + -3 = -8 -8 + 10x + 3x = 6x + -1 Combine like terms: 10x + 3x = 13x -8 + 13x = 6x + -1 Reorder the terms: -8 + 13x = -1 + 6x Solving -8 + 13x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 13x + -6x = -1 + 6x + -6x Combine like terms: 13x + -6x = 7x -8 + 7x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 7x = -1 + 0 -8 + 7x = -1 Add '8' to each side of the equation. -8 + 8 + 7x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = -1 + 8 7x = -1 + 8 Combine like terms: -1 + 8 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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