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Simplifying 8(3x + -2) = 8(5x + 10) Reorder the terms: 8(-2 + 3x) = 8(5x + 10) (-2 * 8 + 3x * 8) = 8(5x + 10) (-16 + 24x) = 8(5x + 10) Reorder the terms: -16 + 24x = 8(10 + 5x) -16 + 24x = (10 * 8 + 5x * 8) -16 + 24x = (80 + 40x) Solving -16 + 24x = 80 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -16 + 24x + -40x = 80 + 40x + -40x Combine like terms: 24x + -40x = -16x -16 + -16x = 80 + 40x + -40x Combine like terms: 40x + -40x = 0 -16 + -16x = 80 + 0 -16 + -16x = 80 Add '16' to each side of the equation. -16 + 16 + -16x = 80 + 16 Combine like terms: -16 + 16 = 0 0 + -16x = 80 + 16 -16x = 80 + 16 Combine like terms: 80 + 16 = 96 -16x = 96 Divide each side by '-16'. x = -6 Simplifying x = -6
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