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Simplifying 4(x + 2) = 2(4 + -1x) + 42 Reorder the terms: 4(2 + x) = 2(4 + -1x) + 42 (2 * 4 + x * 4) = 2(4 + -1x) + 42 (8 + 4x) = 2(4 + -1x) + 42 8 + 4x = (4 * 2 + -1x * 2) + 42 8 + 4x = (8 + -2x) + 42 Reorder the terms: 8 + 4x = 8 + 42 + -2x Combine like terms: 8 + 42 = 50 8 + 4x = 50 + -2x Solving 8 + 4x = 50 + -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. 8 + 4x + 2x = 50 + -2x + 2x Combine like terms: 4x + 2x = 6x 8 + 6x = 50 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 6x = 50 + 0 8 + 6x = 50 Add '-8' to each side of the equation. 8 + -8 + 6x = 50 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 50 + -8 6x = 50 + -8 Combine like terms: 50 + -8 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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