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Simplifying 42 = 2(x + 1) + 2(2x + -4) Reorder the terms: 42 = 2(1 + x) + 2(2x + -4) 42 = (1 * 2 + x * 2) + 2(2x + -4) 42 = (2 + 2x) + 2(2x + -4) Reorder the terms: 42 = 2 + 2x + 2(-4 + 2x) 42 = 2 + 2x + (-4 * 2 + 2x * 2) 42 = 2 + 2x + (-8 + 4x) Reorder the terms: 42 = 2 + -8 + 2x + 4x Combine like terms: 2 + -8 = -6 42 = -6 + 2x + 4x Combine like terms: 2x + 4x = 6x 42 = -6 + 6x Solving 42 = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + -6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -6x = -6 + 0 42 + -6x = -6 Add '-42' to each side of the equation. 42 + -42 + -6x = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = -6 + -42 -6x = -6 + -42 Combine like terms: -6 + -42 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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