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Simplifying 78 = 3x + 2(-5x + 18) Reorder the terms: 78 = 3x + 2(18 + -5x) 78 = 3x + (18 * 2 + -5x * 2) 78 = 3x + (36 + -10x) Reorder the terms: 78 = 36 + 3x + -10x Combine like terms: 3x + -10x = -7x 78 = 36 + -7x Solving 78 = 36 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 78 + 7x = 36 + -7x + 7x Combine like terms: -7x + 7x = 0 78 + 7x = 36 + 0 78 + 7x = 36 Add '-78' to each side of the equation. 78 + -78 + 7x = 36 + -78 Combine like terms: 78 + -78 = 0 0 + 7x = 36 + -78 7x = 36 + -78 Combine like terms: 36 + -78 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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