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Simplifying 5(x + -2) + -3(2x + -3) = 7 Reorder the terms: 5(-2 + x) + -3(2x + -3) = 7 (-2 * 5 + x * 5) + -3(2x + -3) = 7 (-10 + 5x) + -3(2x + -3) = 7 Reorder the terms: -10 + 5x + -3(-3 + 2x) = 7 -10 + 5x + (-3 * -3 + 2x * -3) = 7 -10 + 5x + (9 + -6x) = 7 Reorder the terms: -10 + 9 + 5x + -6x = 7 Combine like terms: -10 + 9 = -1 -1 + 5x + -6x = 7 Combine like terms: 5x + -6x = -1x -1 + -1x = 7 Solving -1 + -1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 7 + 1 -1x = 7 + 1 Combine like terms: 7 + 1 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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