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Simplifying 5(2x + -3) + -1(7x + -2) = x + -15 Reorder the terms: 5(-3 + 2x) + -1(7x + -2) = x + -15 (-3 * 5 + 2x * 5) + -1(7x + -2) = x + -15 (-15 + 10x) + -1(7x + -2) = x + -15 Reorder the terms: -15 + 10x + -1(-2 + 7x) = x + -15 -15 + 10x + (-2 * -1 + 7x * -1) = x + -15 -15 + 10x + (2 + -7x) = x + -15 Reorder the terms: -15 + 2 + 10x + -7x = x + -15 Combine like terms: -15 + 2 = -13 -13 + 10x + -7x = x + -15 Combine like terms: 10x + -7x = 3x -13 + 3x = x + -15 Reorder the terms: -13 + 3x = -15 + x Solving -13 + 3x = -15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + 3x + -1x = -15 + x + -1x Combine like terms: 3x + -1x = 2x -13 + 2x = -15 + x + -1x Combine like terms: x + -1x = 0 -13 + 2x = -15 + 0 -13 + 2x = -15 Add '13' to each side of the equation. -13 + 13 + 2x = -15 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = -15 + 13 2x = -15 + 13 Combine like terms: -15 + 13 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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