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Simplifying 8(x + -2) + -10(2 + -1x) = 5(2 + -1x) Reorder the terms: 8(-2 + x) + -10(2 + -1x) = 5(2 + -1x) (-2 * 8 + x * 8) + -10(2 + -1x) = 5(2 + -1x) (-16 + 8x) + -10(2 + -1x) = 5(2 + -1x) -16 + 8x + (2 * -10 + -1x * -10) = 5(2 + -1x) -16 + 8x + (-20 + 10x) = 5(2 + -1x) Reorder the terms: -16 + -20 + 8x + 10x = 5(2 + -1x) Combine like terms: -16 + -20 = -36 -36 + 8x + 10x = 5(2 + -1x) Combine like terms: 8x + 10x = 18x -36 + 18x = 5(2 + -1x) -36 + 18x = (2 * 5 + -1x * 5) -36 + 18x = (10 + -5x) Solving -36 + 18x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -36 + 18x + 5x = 10 + -5x + 5x Combine like terms: 18x + 5x = 23x -36 + 23x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -36 + 23x = 10 + 0 -36 + 23x = 10 Add '36' to each side of the equation. -36 + 36 + 23x = 10 + 36 Combine like terms: -36 + 36 = 0 0 + 23x = 10 + 36 23x = 10 + 36 Combine like terms: 10 + 36 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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