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Simplifying 2(5x + 4) = 2(3x + -10) Reorder the terms: 2(4 + 5x) = 2(3x + -10) (4 * 2 + 5x * 2) = 2(3x + -10) (8 + 10x) = 2(3x + -10) Reorder the terms: 8 + 10x = 2(-10 + 3x) 8 + 10x = (-10 * 2 + 3x * 2) 8 + 10x = (-20 + 6x) Solving 8 + 10x = -20 + 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 = -20 + 6x + -6x Combine like terms: 10x + -6x = 4x 8 + 4x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 4x = -20 + 0 8 + 4x = -20 Add '-8' to each side of the equation. 8 + -8 + 4x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -20 + -8 4x = -20 + -8 Combine like terms: -20 + -8 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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