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Simplifying 5(x + -3) + 2x + 10 = 8x + 20 Reorder the terms: 5(-3 + x) + 2x + 10 = 8x + 20 (-3 * 5 + x * 5) + 2x + 10 = 8x + 20 (-15 + 5x) + 2x + 10 = 8x + 20 Reorder the terms: -15 + 10 + 5x + 2x = 8x + 20 Combine like terms: -15 + 10 = -5 -5 + 5x + 2x = 8x + 20 Combine like terms: 5x + 2x = 7x -5 + 7x = 8x + 20 Reorder the terms: -5 + 7x = 20 + 8x Solving -5 + 7x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 7x + -8x = 20 + 8x + -8x Combine like terms: 7x + -8x = -1x -5 + -1x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -1x = 20 + 0 -5 + -1x = 20 Add '5' to each side of the equation. -5 + 5 + -1x = 20 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 20 + 5 -1x = 20 + 5 Combine like terms: 20 + 5 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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