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Simplifying 42 = 2(x) + 2(4x + -7) Reorder the terms: 42 = 2x + 2(-7 + 4x) 42 = 2x + (-7 * 2 + 4x * 2) 42 = 2x + (-14 + 8x) Reorder the terms: 42 = -14 + 2x + 8x Combine like terms: 2x + 8x = 10x 42 = -14 + 10x Solving 42 = -14 + 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 = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 42 + -10x = -14 + 0 42 + -10x = -14 Add '-42' to each side of the equation. 42 + -42 + -10x = -14 + -42 Combine like terms: 42 + -42 = 0 0 + -10x = -14 + -42 -10x = -14 + -42 Combine like terms: -14 + -42 = -56 -10x = -56 Divide each side by '-10'. x = 5.6 Simplifying x = 5.6
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