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Simplifying 2(x + 7) + -2 = 52 + -3x Reorder the terms: 2(7 + x) + -2 = 52 + -3x (7 * 2 + x * 2) + -2 = 52 + -3x (14 + 2x) + -2 = 52 + -3x Reorder the terms: 14 + -2 + 2x = 52 + -3x Combine like terms: 14 + -2 = 12 12 + 2x = 52 + -3x Solving 12 + 2x = 52 + -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. 12 + 2x + 3x = 52 + -3x + 3x Combine like terms: 2x + 3x = 5x 12 + 5x = 52 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 5x = 52 + 0 12 + 5x = 52 Add '-12' to each side of the equation. 12 + -12 + 5x = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 52 + -12 5x = 52 + -12 Combine like terms: 52 + -12 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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