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Simplifying 42 + 2x = 7(-1x + 8) + -59 Reorder the terms: 42 + 2x = 7(8 + -1x) + -59 42 + 2x = (8 * 7 + -1x * 7) + -59 42 + 2x = (56 + -7x) + -59 Reorder the terms: 42 + 2x = 56 + -59 + -7x Combine like terms: 56 + -59 = -3 42 + 2x = -3 + -7x Solving 42 + 2x = -3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 42 + 2x + 7x = -3 + -7x + 7x Combine like terms: 2x + 7x = 9x 42 + 9x = -3 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + 9x = -3 + 0 42 + 9x = -3 Add '-42' to each side of the equation. 42 + -42 + 9x = -3 + -42 Combine like terms: 42 + -42 = 0 0 + 9x = -3 + -42 9x = -3 + -42 Combine like terms: -3 + -42 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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