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Simplifying 92 + -1(7x + 12) = 7(x + 5) + 5 Reorder the terms: 92 + -1(12 + 7x) = 7(x + 5) + 5 92 + (12 * -1 + 7x * -1) = 7(x + 5) + 5 92 + (-12 + -7x) = 7(x + 5) + 5 Combine like terms: 92 + -12 = 80 80 + -7x = 7(x + 5) + 5 Reorder the terms: 80 + -7x = 7(5 + x) + 5 80 + -7x = (5 * 7 + x * 7) + 5 80 + -7x = (35 + 7x) + 5 Reorder the terms: 80 + -7x = 35 + 5 + 7x Combine like terms: 35 + 5 = 40 80 + -7x = 40 + 7x Solving 80 + -7x = 40 + 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. 80 + -7x + -7x = 40 + 7x + -7x Combine like terms: -7x + -7x = -14x 80 + -14x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 80 + -14x = 40 + 0 80 + -14x = 40 Add '-80' to each side of the equation. 80 + -80 + -14x = 40 + -80 Combine like terms: 80 + -80 = 0 0 + -14x = 40 + -80 -14x = 40 + -80 Combine like terms: 40 + -80 = -40 -14x = -40 Divide each side by '-14'. x = 2.857142857 Simplifying x = 2.857142857
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