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Simplifying 3(2x + -5) = -1(x + 1) Reorder the terms: 3(-5 + 2x) = -1(x + 1) (-5 * 3 + 2x * 3) = -1(x + 1) (-15 + 6x) = -1(x + 1) Reorder the terms: -15 + 6x = -1(1 + x) -15 + 6x = (1 * -1 + x * -1) -15 + 6x = (-1 + -1x) Solving -15 + 6x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 6x + x = -1 + -1x + x Combine like terms: 6x + x = 7x -15 + 7x = -1 + -1x + x Combine like terms: -1x + x = 0 -15 + 7x = -1 + 0 -15 + 7x = -1 Add '15' to each side of the equation. -15 + 15 + 7x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = -1 + 15 7x = -1 + 15 Combine like terms: -1 + 15 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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