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Simplifying 6x + 8 = 2(5x + -10) Reorder the terms: 8 + 6x = 2(5x + -10) Reorder the terms: 8 + 6x = 2(-10 + 5x) 8 + 6x = (-10 * 2 + 5x * 2) 8 + 6x = (-20 + 10x) Solving 8 + 6x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 6x + -10x = -20 + 10x + -10x Combine like terms: 6x + -10x = -4x 8 + -4x = -20 + 10x + -10x Combine like terms: 10x + -10x = 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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