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Simplifying 7x + 8 = 3 + 2(x + -5) Reorder the terms: 8 + 7x = 3 + 2(x + -5) Reorder the terms: 8 + 7x = 3 + 2(-5 + x) 8 + 7x = 3 + (-5 * 2 + x * 2) 8 + 7x = 3 + (-10 + 2x) Combine like terms: 3 + -10 = -7 8 + 7x = -7 + 2x Solving 8 + 7x = -7 + 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. 8 + 7x + -2x = -7 + 2x + -2x Combine like terms: 7x + -2x = 5x 8 + 5x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 5x = -7 + 0 8 + 5x = -7 Add '-8' to each side of the equation. 8 + -8 + 5x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -7 + -8 5x = -7 + -8 Combine like terms: -7 + -8 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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