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Simplifying 2(3 + -1x) + (x + -1) + -15 = 3(2x + -1) (3 * 2 + -1x * 2) + (x + -1) + -15 = 3(2x + -1) (6 + -2x) + (x + -1) + -15 = 3(2x + -1) Reorder the terms: 6 + -2x + (-1 + x) + -15 = 3(2x + -1) Remove parenthesis around (-1 + x) 6 + -2x + -1 + x + -15 = 3(2x + -1) Reorder the terms: 6 + -1 + -15 + -2x + x = 3(2x + -1) Combine like terms: 6 + -1 = 5 5 + -15 + -2x + x = 3(2x + -1) Combine like terms: 5 + -15 = -10 -10 + -2x + x = 3(2x + -1) Combine like terms: -2x + x = -1x -10 + -1x = 3(2x + -1) Reorder the terms: -10 + -1x = 3(-1 + 2x) -10 + -1x = (-1 * 3 + 2x * 3) -10 + -1x = (-3 + 6x) Solving -10 + -1x = -3 + 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. -10 + -1x + -6x = -3 + 6x + -6x Combine like terms: -1x + -6x = -7x -10 + -7x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -7x = -3 + 0 -10 + -7x = -3 Add '10' to each side of the equation. -10 + 10 + -7x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -3 + 10 -7x = -3 + 10 Combine like terms: -3 + 10 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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