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Simplifying 3(6x + 10) = 2(4x + -5) Reorder the terms: 3(10 + 6x) = 2(4x + -5) (10 * 3 + 6x * 3) = 2(4x + -5) (30 + 18x) = 2(4x + -5) Reorder the terms: 30 + 18x = 2(-5 + 4x) 30 + 18x = (-5 * 2 + 4x * 2) 30 + 18x = (-10 + 8x) Solving 30 + 18x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 18x + -8x = -10 + 8x + -8x Combine like terms: 18x + -8x = 10x 30 + 10x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 10x = -10 + 0 30 + 10x = -10 Add '-30' to each side of the equation. 30 + -30 + 10x = -10 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = -10 + -30 10x = -10 + -30 Combine like terms: -10 + -30 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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