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Simplifying 74 = x + x + -3 + x + -3 + 7 + 2(x + -3 + 7) Reorder the terms: 74 = x + x + -3 + x + -3 + 7 + 2(-3 + 7 + x) Combine like terms: -3 + 7 = 4 74 = x + x + -3 + x + -3 + 7 + 2(4 + x) 74 = x + x + -3 + x + -3 + 7 + (4 * 2 + x * 2) 74 = x + x + -3 + x + -3 + 7 + (8 + 2x) Reorder the terms: 74 = -3 + -3 + 7 + 8 + x + x + x + 2x Combine like terms: -3 + -3 = -6 74 = -6 + 7 + 8 + x + x + x + 2x Combine like terms: -6 + 7 = 1 74 = 1 + 8 + x + x + x + 2x Combine like terms: 1 + 8 = 9 74 = 9 + x + x + x + 2x Combine like terms: x + x = 2x 74 = 9 + 2x + x + 2x Combine like terms: 2x + x = 3x 74 = 9 + 3x + 2x Combine like terms: 3x + 2x = 5x 74 = 9 + 5x Solving 74 = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 74 + -5x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 74 + -5x = 9 + 0 74 + -5x = 9 Add '-74' to each side of the equation. 74 + -74 + -5x = 9 + -74 Combine like terms: 74 + -74 = 0 0 + -5x = 9 + -74 -5x = 9 + -74 Combine like terms: 9 + -74 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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