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Simplifying 5(2 + -3x) + -15 = -1(x + 7) (2 * 5 + -3x * 5) + -15 = -1(x + 7) (10 + -15x) + -15 = -1(x + 7) Reorder the terms: 10 + -15 + -15x = -1(x + 7) Combine like terms: 10 + -15 = -5 -5 + -15x = -1(x + 7) Reorder the terms: -5 + -15x = -1(7 + x) -5 + -15x = (7 * -1 + x * -1) -5 + -15x = (-7 + -1x) Solving -5 + -15x = -7 + -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. -5 + -15x + x = -7 + -1x + x Combine like terms: -15x + x = -14x -5 + -14x = -7 + -1x + x Combine like terms: -1x + x = 0 -5 + -14x = -7 + 0 -5 + -14x = -7 Add '5' to each side of the equation. -5 + 5 + -14x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -14x = -7 + 5 -14x = -7 + 5 Combine like terms: -7 + 5 = -2 -14x = -2 Divide each side by '-14'. x = 0.1428571429 Simplifying x = 0.1428571429
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