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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 = 16x -16 + 16x = 48 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 16x = 48 + 0 -16 + 16x = 48 Add '16' to each side of the equation. -16 + 16 + 16x = 48 + 16 Combine like terms: -16 + 16 = 0 0 + 16x = 48 + 16 16x = 48 + 16 Combine like terms: 48 + 16 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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