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Simplifying 2(12x + -10) = 8(x + 1) Reorder the terms: 2(-10 + 12x) = 8(x + 1) (-10 * 2 + 12x * 2) = 8(x + 1) (-20 + 24x) = 8(x + 1) Reorder the terms: -20 + 24x = 8(1 + x) -20 + 24x = (1 * 8 + x * 8) -20 + 24x = (8 + 8x) Solving -20 + 24x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 24x + -8x = 8 + 8x + -8x Combine like terms: 24x + -8x = 16x -20 + 16x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 16x = 8 + 0 -20 + 16x = 8 Add '20' to each side of the equation. -20 + 20 + 16x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 16x = 8 + 20 16x = 8 + 20 Combine like terms: 8 + 20 = 28 16x = 28 Divide each side by '16'. x = 1.75 Simplifying x = 1.75
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