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Simplifying 4x + 31 + -1(7x + -69) = 58 Reorder the terms: 4x + 31 + -1(-69 + 7x) = 58 4x + 31 + (-69 * -1 + 7x * -1) = 58 4x + 31 + (69 + -7x) = 58 Reorder the terms: 31 + 69 + 4x + -7x = 58 Combine like terms: 31 + 69 = 100 100 + 4x + -7x = 58 Combine like terms: 4x + -7x = -3x 100 + -3x = 58 Solving 100 + -3x = 58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -3x = 58 + -100 Combine like terms: 100 + -100 = 0 0 + -3x = 58 + -100 -3x = 58 + -100 Combine like terms: 58 + -100 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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