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Simplifying 5(2x + -3) + -8x + 2 = x + 10 Reorder the terms: 5(-3 + 2x) + -8x + 2 = x + 10 (-3 * 5 + 2x * 5) + -8x + 2 = x + 10 (-15 + 10x) + -8x + 2 = x + 10 Reorder the terms: -15 + 2 + 10x + -8x = x + 10 Combine like terms: -15 + 2 = -13 -13 + 10x + -8x = x + 10 Combine like terms: 10x + -8x = 2x -13 + 2x = x + 10 Reorder the terms: -13 + 2x = 10 + x Solving -13 + 2x = 10 + 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. -13 + 2x + -1x = 10 + x + -1x Combine like terms: 2x + -1x = 1x -13 + 1x = 10 + x + -1x Combine like terms: x + -1x = 0 -13 + 1x = 10 + 0 -13 + 1x = 10 Add '13' to each side of the equation. -13 + 13 + 1x = 10 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 10 + 13 1x = 10 + 13 Combine like terms: 10 + 13 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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