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Simplifying 2(-5x + 4) = -6(x + 10) Reorder the terms: 2(4 + -5x) = -6(x + 10) (4 * 2 + -5x * 2) = -6(x + 10) (8 + -10x) = -6(x + 10) Reorder the terms: 8 + -10x = -6(10 + x) 8 + -10x = (10 * -6 + x * -6) 8 + -10x = (-60 + -6x) Solving 8 + -10x = -60 + -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. 8 + -10x + 6x = -60 + -6x + 6x Combine like terms: -10x + 6x = -4x 8 + -4x = -60 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + -4x = -60 + 0 8 + -4x = -60 Add '-8' to each side of the equation. 8 + -8 + -4x = -60 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -60 + -8 -4x = -60 + -8 Combine like terms: -60 + -8 = -68 -4x = -68 Divide each side by '-4'. x = 17 Simplifying x = 17
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