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Simplifying 8(5x + -6) = 2x + 6x + 16 Reorder the terms: 8(-6 + 5x) = 2x + 6x + 16 (-6 * 8 + 5x * 8) = 2x + 6x + 16 (-48 + 40x) = 2x + 6x + 16 Reorder the terms: -48 + 40x = 16 + 2x + 6x Combine like terms: 2x + 6x = 8x -48 + 40x = 16 + 8x Solving -48 + 40x = 16 + 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. -48 + 40x + -8x = 16 + 8x + -8x Combine like terms: 40x + -8x = 32x -48 + 32x = 16 + 8x + -8x Combine like terms: 8x + -8x = 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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