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Simplifying 5(6 + -2x) = 2(5 + -3x) (6 * 5 + -2x * 5) = 2(5 + -3x) (30 + -10x) = 2(5 + -3x) 30 + -10x = (5 * 2 + -3x * 2) 30 + -10x = (10 + -6x) Solving 30 + -10x = 10 + -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. 30 + -10x + 6x = 10 + -6x + 6x Combine like terms: -10x + 6x = -4x 30 + -4x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 30 + -4x = 10 + 0 30 + -4x = 10 Add '-30' to each side of the equation. 30 + -30 + -4x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 10 + -30 -4x = 10 + -30 Combine like terms: 10 + -30 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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