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Simplifying 8(x + -2) = 50 + 5(12 + -2x) Reorder the terms: 8(-2 + x) = 50 + 5(12 + -2x) (-2 * 8 + x * 8) = 50 + 5(12 + -2x) (-16 + 8x) = 50 + 5(12 + -2x) -16 + 8x = 50 + (12 * 5 + -2x * 5) -16 + 8x = 50 + (60 + -10x) Combine like terms: 50 + 60 = 110 -16 + 8x = 110 + -10x Solving -16 + 8x = 110 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -16 + 8x + 10x = 110 + -10x + 10x Combine like terms: 8x + 10x = 18x -16 + 18x = 110 + -10x + 10x Combine like terms: -10x + 10x = 0 -16 + 18x = 110 + 0 -16 + 18x = 110 Add '16' to each side of the equation. -16 + 16 + 18x = 110 + 16 Combine like terms: -16 + 16 = 0 0 + 18x = 110 + 16 18x = 110 + 16 Combine like terms: 110 + 16 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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