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Simplifying 42 = 2x + 2(4x + -4) Reorder the terms: 42 = 2x + 2(-4 + 4x) 42 = 2x + (-4 * 2 + 4x * 2) 42 = 2x + (-8 + 8x) Reorder the terms: 42 = -8 + 2x + 8x Combine like terms: 2x + 8x = 10x 42 = -8 + 10x Solving 42 = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 42 + -10x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 42 + -10x = -8 + 0 42 + -10x = -8 Add '-42' to each side of the equation. 42 + -42 + -10x = -8 + -42 Combine like terms: 42 + -42 = 0 0 + -10x = -8 + -42 -10x = -8 + -42 Combine like terms: -8 + -42 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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