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Simplifying 8(4x + -3) = 2(8x + -10) Reorder the terms: 8(-3 + 4x) = 2(8x + -10) (-3 * 8 + 4x * 8) = 2(8x + -10) (-24 + 32x) = 2(8x + -10) Reorder the terms: -24 + 32x = 2(-10 + 8x) -24 + 32x = (-10 * 2 + 8x * 2) -24 + 32x = (-20 + 16x) Solving -24 + 32x = -20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -24 + 32x + -16x = -20 + 16x + -16x Combine like terms: 32x + -16x = 16x -24 + 16x = -20 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + 16x = -20 + 0 -24 + 16x = -20 Add '24' to each side of the equation. -24 + 24 + 16x = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = -20 + 24 16x = -20 + 24 Combine like terms: -20 + 24 = 4 16x = 4 Divide each side by '16'. x = 0.25 Simplifying x = 0.25
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