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Simplifying 3(x + -5) + 8 = 2x + 10 Reorder the terms: 3(-5 + x) + 8 = 2x + 10 (-5 * 3 + x * 3) + 8 = 2x + 10 (-15 + 3x) + 8 = 2x + 10 Reorder the terms: -15 + 8 + 3x = 2x + 10 Combine like terms: -15 + 8 = -7 -7 + 3x = 2x + 10 Reorder the terms: -7 + 3x = 10 + 2x Solving -7 + 3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = 10 + 0 -7 + 1x = 10 Add '7' to each side of the equation. -7 + 7 + 1x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 10 + 7 1x = 10 + 7 Combine like terms: 10 + 7 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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