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Simplifying 2(3x + -7) = 15 + -1(x + 1) Reorder the terms: 2(-7 + 3x) = 15 + -1(x + 1) (-7 * 2 + 3x * 2) = 15 + -1(x + 1) (-14 + 6x) = 15 + -1(x + 1) Reorder the terms: -14 + 6x = 15 + -1(1 + x) -14 + 6x = 15 + (1 * -1 + x * -1) -14 + 6x = 15 + (-1 + -1x) Combine like terms: 15 + -1 = 14 -14 + 6x = 14 + -1x Solving -14 + 6x = 14 + -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. -14 + 6x + x = 14 + -1x + x Combine like terms: 6x + x = 7x -14 + 7x = 14 + -1x + x Combine like terms: -1x + x = 0 -14 + 7x = 14 + 0 -14 + 7x = 14 Add '14' to each side of the equation. -14 + 14 + 7x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 14 + 14 7x = 14 + 14 Combine like terms: 14 + 14 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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