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