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Simplifying 42 = 2(x + 4) + 2(x + -7) Reorder the terms: 42 = 2(4 + x) + 2(x + -7) 42 = (4 * 2 + x * 2) + 2(x + -7) 42 = (8 + 2x) + 2(x + -7) Reorder the terms: 42 = 8 + 2x + 2(-7 + x) 42 = 8 + 2x + (-7 * 2 + x * 2) 42 = 8 + 2x + (-14 + 2x) Reorder the terms: 42 = 8 + -14 + 2x + 2x Combine like terms: 8 + -14 = -6 42 = -6 + 2x + 2x Combine like terms: 2x + 2x = 4x 42 = -6 + 4x Solving 42 = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 42 + -4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + -4x = -6 + 0 42 + -4x = -6 Add '-42' to each side of the equation. 42 + -42 + -4x = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = -6 + -42 -4x = -6 + -42 Combine like terms: -6 + -42 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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