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Simplifying 6 + -2(5x + -13) = 2x + 20 Reorder the terms: 6 + -2(-13 + 5x) = 2x + 20 6 + (-13 * -2 + 5x * -2) = 2x + 20 6 + (26 + -10x) = 2x + 20 Combine like terms: 6 + 26 = 32 32 + -10x = 2x + 20 Reorder the terms: 32 + -10x = 20 + 2x Solving 32 + -10x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 32 + -10x + -2x = 20 + 2x + -2x Combine like terms: -10x + -2x = -12x 32 + -12x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + -12x = 20 + 0 32 + -12x = 20 Add '-32' to each side of the equation. 32 + -32 + -12x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = 20 + -32 -12x = 20 + -32 Combine like terms: 20 + -32 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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