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Simplifying 2(5x + 4) = 2(6x + -1) Reorder the terms: 2(4 + 5x) = 2(6x + -1) (4 * 2 + 5x * 2) = 2(6x + -1) (8 + 10x) = 2(6x + -1) Reorder the terms: 8 + 10x = 2(-1 + 6x) 8 + 10x = (-1 * 2 + 6x * 2) 8 + 10x = (-2 + 12x) Solving 8 + 10x = -2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 10x + -12x = -2 + 12x + -12x Combine like terms: 10x + -12x = -2x 8 + -2x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -2x = -2 + 0 8 + -2x = -2 Add '-8' to each side of the equation. 8 + -8 + -2x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -2 + -8 -2x = -2 + -8 Combine like terms: -2 + -8 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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