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Simplifying 2(5x + -8) = 6(x + -8) Reorder the terms: 2(-8 + 5x) = 6(x + -8) (-8 * 2 + 5x * 2) = 6(x + -8) (-16 + 10x) = 6(x + -8) Reorder the terms: -16 + 10x = 6(-8 + x) -16 + 10x = (-8 * 6 + x * 6) -16 + 10x = (-48 + 6x) Solving -16 + 10x = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 10x + -6x = -48 + 6x + -6x Combine like terms: 10x + -6x = 4x -16 + 4x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 4x = -48 + 0 -16 + 4x = -48 Add '16' to each side of the equation. -16 + 16 + 4x = -48 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -48 + 16 4x = -48 + 16 Combine like terms: -48 + 16 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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