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Simplifying 5 + -3(5x + 9) = 15 + -1(x + 9) Reorder the terms: 5 + -3(9 + 5x) = 15 + -1(x + 9) 5 + (9 * -3 + 5x * -3) = 15 + -1(x + 9) 5 + (-27 + -15x) = 15 + -1(x + 9) Combine like terms: 5 + -27 = -22 -22 + -15x = 15 + -1(x + 9) Reorder the terms: -22 + -15x = 15 + -1(9 + x) -22 + -15x = 15 + (9 * -1 + x * -1) -22 + -15x = 15 + (-9 + -1x) Combine like terms: 15 + -9 = 6 -22 + -15x = 6 + -1x Solving -22 + -15x = 6 + -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. -22 + -15x + x = 6 + -1x + x Combine like terms: -15x + x = -14x -22 + -14x = 6 + -1x + x Combine like terms: -1x + x = 0 -22 + -14x = 6 + 0 -22 + -14x = 6 Add '22' to each side of the equation. -22 + 22 + -14x = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -14x = 6 + 22 -14x = 6 + 22 Combine like terms: 6 + 22 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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