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Simplifying (6x + 42) = (18x + -12) Reorder the terms: (42 + 6x) = (18x + -12) Remove parenthesis around (42 + 6x) 42 + 6x = (18x + -12) Reorder the terms: 42 + 6x = (-12 + 18x) Remove parenthesis around (-12 + 18x) 42 + 6x = -12 + 18x Solving 42 + 6x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 42 + 6x + -18x = -12 + 18x + -18x Combine like terms: 6x + -18x = -12x 42 + -12x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 42 + -12x = -12 + 0 42 + -12x = -12 Add '-42' to each side of the equation. 42 + -42 + -12x = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -12x = -12 + -42 -12x = -12 + -42 Combine like terms: -12 + -42 = -54 -12x = -54 Divide each side by '-12'. x = 4.5 Simplifying x = 4.5
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