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Simplifying 42 = 2x + 3 + 7(x + -4) Reorder the terms: 42 = 2x + 3 + 7(-4 + x) 42 = 2x + 3 + (-4 * 7 + x * 7) 42 = 2x + 3 + (-28 + 7x) Reorder the terms: 42 = 3 + -28 + 2x + 7x Combine like terms: 3 + -28 = -25 42 = -25 + 2x + 7x Combine like terms: 2x + 7x = 9x 42 = -25 + 9x Solving 42 = -25 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 42 + -9x = -25 + 9x + -9x Combine like terms: 9x + -9x = 0 42 + -9x = -25 + 0 42 + -9x = -25 Add '-42' to each side of the equation. 42 + -42 + -9x = -25 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = -25 + -42 -9x = -25 + -42 Combine like terms: -25 + -42 = -67 -9x = -67 Divide each side by '-9'. x = 7.444444444 Simplifying x = 7.444444444
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