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Simplifying 2(3x + 10) = -3(4x + 18) + 2 Reorder the terms: 2(10 + 3x) = -3(4x + 18) + 2 (10 * 2 + 3x * 2) = -3(4x + 18) + 2 (20 + 6x) = -3(4x + 18) + 2 Reorder the terms: 20 + 6x = -3(18 + 4x) + 2 20 + 6x = (18 * -3 + 4x * -3) + 2 20 + 6x = (-54 + -12x) + 2 Reorder the terms: 20 + 6x = -54 + 2 + -12x Combine like terms: -54 + 2 = -52 20 + 6x = -52 + -12x Solving 20 + 6x = -52 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 20 + 6x + 12x = -52 + -12x + 12x Combine like terms: 6x + 12x = 18x 20 + 18x = -52 + -12x + 12x Combine like terms: -12x + 12x = 0 20 + 18x = -52 + 0 20 + 18x = -52 Add '-20' to each side of the equation. 20 + -20 + 18x = -52 + -20 Combine like terms: 20 + -20 = 0 0 + 18x = -52 + -20 18x = -52 + -20 Combine like terms: -52 + -20 = -72 18x = -72 Divide each side by '18'. x = -4 Simplifying x = -4
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