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Simplifying 5x + 7 = 9 + -2(x + 6) Reorder the terms: 7 + 5x = 9 + -2(x + 6) Reorder the terms: 7 + 5x = 9 + -2(6 + x) 7 + 5x = 9 + (6 * -2 + x * -2) 7 + 5x = 9 + (-12 + -2x) Combine like terms: 9 + -12 = -3 7 + 5x = -3 + -2x Solving 7 + 5x = -3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 5x + 2x = -3 + -2x + 2x Combine like terms: 5x + 2x = 7x 7 + 7x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 7x = -3 + 0 7 + 7x = -3 Add '-7' to each side of the equation. 7 + -7 + 7x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = -3 + -7 7x = -3 + -7 Combine like terms: -3 + -7 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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