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Simplifying 2(26 + -5x) = 3(6 + -2x) (26 * 2 + -5x * 2) = 3(6 + -2x) (52 + -10x) = 3(6 + -2x) 52 + -10x = (6 * 3 + -2x * 3) 52 + -10x = (18 + -6x) Solving 52 + -10x = 18 + -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. 52 + -10x + 6x = 18 + -6x + 6x Combine like terms: -10x + 6x = -4x 52 + -4x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 52 + -4x = 18 + 0 52 + -4x = 18 Add '-52' to each side of the equation. 52 + -52 + -4x = 18 + -52 Combine like terms: 52 + -52 = 0 0 + -4x = 18 + -52 -4x = 18 + -52 Combine like terms: 18 + -52 = -34 -4x = -34 Divide each side by '-4'. x = 8.5 Simplifying x = 8.5
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