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Simplifying 5(x + -2) + -3(x + 5) = 7 + -1x Reorder the terms: 5(-2 + x) + -3(x + 5) = 7 + -1x (-2 * 5 + x * 5) + -3(x + 5) = 7 + -1x (-10 + 5x) + -3(x + 5) = 7 + -1x Reorder the terms: -10 + 5x + -3(5 + x) = 7 + -1x -10 + 5x + (5 * -3 + x * -3) = 7 + -1x -10 + 5x + (-15 + -3x) = 7 + -1x Reorder the terms: -10 + -15 + 5x + -3x = 7 + -1x Combine like terms: -10 + -15 = -25 -25 + 5x + -3x = 7 + -1x Combine like terms: 5x + -3x = 2x -25 + 2x = 7 + -1x Solving -25 + 2x = 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. -25 + 2x + x = 7 + -1x + x Combine like terms: 2x + x = 3x -25 + 3x = 7 + -1x + x Combine like terms: -1x + x = 0 -25 + 3x = 7 + 0 -25 + 3x = 7 Add '25' to each side of the equation. -25 + 25 + 3x = 7 + 25 Combine like terms: -25 + 25 = 0 0 + 3x = 7 + 25 3x = 7 + 25 Combine like terms: 7 + 25 = 32 3x = 32 Divide each side by '3'. x = 10.66666667 Simplifying x = 10.66666667
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