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Simplifying -4x + 42 = 2(x + 9) Reorder the terms: 42 + -4x = 2(x + 9) Reorder the terms: 42 + -4x = 2(9 + x) 42 + -4x = (9 * 2 + x * 2) 42 + -4x = (18 + 2x) Solving 42 + -4x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + -4x + -2x = 18 + 2x + -2x Combine like terms: -4x + -2x = -6x 42 + -6x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + -6x = 18 + 0 42 + -6x = 18 Add '-42' to each side of the equation. 42 + -42 + -6x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = 18 + -42 -6x = 18 + -42 Combine like terms: 18 + -42 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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