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Simplifying 10(x + -2) = 4(x + 8) Reorder the terms: 10(-2 + x) = 4(x + 8) (-2 * 10 + x * 10) = 4(x + 8) (-20 + 10x) = 4(x + 8) Reorder the terms: -20 + 10x = 4(8 + x) -20 + 10x = (8 * 4 + x * 4) -20 + 10x = (32 + 4x) Solving -20 + 10x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 10x + -4x = 32 + 4x + -4x Combine like terms: 10x + -4x = 6x -20 + 6x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 6x = 32 + 0 -20 + 6x = 32 Add '20' to each side of the equation. -20 + 20 + 6x = 32 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 32 + 20 6x = 32 + 20 Combine like terms: 32 + 20 = 52 6x = 52 Divide each side by '6'. x = 8.666666667 Simplifying x = 8.666666667
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