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Simplifying 42 + -18x = 12(4x + 20) Reorder the terms: 42 + -18x = 12(20 + 4x) 42 + -18x = (20 * 12 + 4x * 12) 42 + -18x = (240 + 48x) Solving 42 + -18x = 240 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 42 + -18x + -48x = 240 + 48x + -48x Combine like terms: -18x + -48x = -66x 42 + -66x = 240 + 48x + -48x Combine like terms: 48x + -48x = 0 42 + -66x = 240 + 0 42 + -66x = 240 Add '-42' to each side of the equation. 42 + -42 + -66x = 240 + -42 Combine like terms: 42 + -42 = 0 0 + -66x = 240 + -42 -66x = 240 + -42 Combine like terms: 240 + -42 = 198 -66x = 198 Divide each side by '-66'. x = -3 Simplifying x = -3
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