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Simplifying -3(5x + 1) + -7 = -1(x + 2) + -8 Reorder the terms: -3(1 + 5x) + -7 = -1(x + 2) + -8 (1 * -3 + 5x * -3) + -7 = -1(x + 2) + -8 (-3 + -15x) + -7 = -1(x + 2) + -8 Reorder the terms: -3 + -7 + -15x = -1(x + 2) + -8 Combine like terms: -3 + -7 = -10 -10 + -15x = -1(x + 2) + -8 Reorder the terms: -10 + -15x = -1(2 + x) + -8 -10 + -15x = (2 * -1 + x * -1) + -8 -10 + -15x = (-2 + -1x) + -8 Reorder the terms: -10 + -15x = -2 + -8 + -1x Combine like terms: -2 + -8 = -10 -10 + -15x = -10 + -1x Add '10' to each side of the equation. -10 + 10 + -15x = -10 + 10 + -1x Combine like terms: -10 + 10 = 0 0 + -15x = -10 + 10 + -1x -15x = -10 + 10 + -1x Combine like terms: -10 + 10 = 0 -15x = 0 + -1x -15x = -1x Solving -15x = -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. -15x + x = -1x + x Combine like terms: -15x + x = -14x -14x = -1x + x Combine like terms: -1x + x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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