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Simplifying 8(5x + 6) = 8(9x + -2) Reorder the terms: 8(6 + 5x) = 8(9x + -2) (6 * 8 + 5x * 8) = 8(9x + -2) (48 + 40x) = 8(9x + -2) Reorder the terms: 48 + 40x = 8(-2 + 9x) 48 + 40x = (-2 * 8 + 9x * 8) 48 + 40x = (-16 + 72x) Solving 48 + 40x = -16 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 48 + 40x + -72x = -16 + 72x + -72x Combine like terms: 40x + -72x = -32x 48 + -32x = -16 + 72x + -72x Combine like terms: 72x + -72x = 0 48 + -32x = -16 + 0 48 + -32x = -16 Add '-48' to each side of the equation. 48 + -48 + -32x = -16 + -48 Combine like terms: 48 + -48 = 0 0 + -32x = -16 + -48 -32x = -16 + -48 Combine like terms: -16 + -48 = -64 -32x = -64 Divide each side by '-32'. x = 2 Simplifying x = 2
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