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Simplifying 5x + 7 = 3(x + -5) + -2 Reorder the terms: 7 + 5x = 3(x + -5) + -2 Reorder the terms: 7 + 5x = 3(-5 + x) + -2 7 + 5x = (-5 * 3 + x * 3) + -2 7 + 5x = (-15 + 3x) + -2 Reorder the terms: 7 + 5x = -15 + -2 + 3x Combine like terms: -15 + -2 = -17 7 + 5x = -17 + 3x Solving 7 + 5x = -17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 5x + -3x = -17 + 3x + -3x Combine like terms: 5x + -3x = 2x 7 + 2x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 2x = -17 + 0 7 + 2x = -17 Add '-7' to each side of the equation. 7 + -7 + 2x = -17 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -17 + -7 2x = -17 + -7 Combine like terms: -17 + -7 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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