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Simplifying 3(x + -8) + 5 = 2x + -2 Reorder the terms: 3(-8 + x) + 5 = 2x + -2 (-8 * 3 + x * 3) + 5 = 2x + -2 (-24 + 3x) + 5 = 2x + -2 Reorder the terms: -24 + 5 + 3x = 2x + -2 Combine like terms: -24 + 5 = -19 -19 + 3x = 2x + -2 Reorder the terms: -19 + 3x = -2 + 2x Solving -19 + 3x = -2 + 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. -19 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x -19 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 1x = -2 + 0 -19 + 1x = -2 Add '19' to each side of the equation. -19 + 19 + 1x = -2 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = -2 + 19 1x = -2 + 19 Combine like terms: -2 + 19 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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