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Simplifying 42 + -3(6 + -1x) + 30 = 10x + 2(18 + x) 42 + (6 * -3 + -1x * -3) + 30 = 10x + 2(18 + x) 42 + (-18 + 3x) + 30 = 10x + 2(18 + x) Reorder the terms: 42 + -18 + 30 + 3x = 10x + 2(18 + x) Combine like terms: 42 + -18 = 24 24 + 30 + 3x = 10x + 2(18 + x) Combine like terms: 24 + 30 = 54 54 + 3x = 10x + 2(18 + x) 54 + 3x = 10x + (18 * 2 + x * 2) 54 + 3x = 10x + (36 + 2x) Reorder the terms: 54 + 3x = 36 + 10x + 2x Combine like terms: 10x + 2x = 12x 54 + 3x = 36 + 12x Solving 54 + 3x = 36 + 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. 54 + 3x + -12x = 36 + 12x + -12x Combine like terms: 3x + -12x = -9x 54 + -9x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 54 + -9x = 36 + 0 54 + -9x = 36 Add '-54' to each side of the equation. 54 + -54 + -9x = 36 + -54 Combine like terms: 54 + -54 = 0 0 + -9x = 36 + -54 -9x = 36 + -54 Combine like terms: 36 + -54 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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