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Simplifying 2(5 + -4x) = 52 + -2x (5 * 2 + -4x * 2) = 52 + -2x (10 + -8x) = 52 + -2x Solving 10 + -8x = 52 + -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. 10 + -8x + 2x = 52 + -2x + 2x Combine like terms: -8x + 2x = -6x 10 + -6x = 52 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -6x = 52 + 0 10 + -6x = 52 Add '-10' to each side of the equation. 10 + -10 + -6x = 52 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 52 + -10 -6x = 52 + -10 Combine like terms: 52 + -10 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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