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Simplifying 2x + 2(x + 20) = x + 55 + x + 15 + x + 50 Reorder the terms: 2x + 2(20 + x) = x + 55 + x + 15 + x + 50 2x + (20 * 2 + x * 2) = x + 55 + x + 15 + x + 50 2x + (40 + 2x) = x + 55 + x + 15 + x + 50 Reorder the terms: 40 + 2x + 2x = x + 55 + x + 15 + x + 50 Combine like terms: 2x + 2x = 4x 40 + 4x = x + 55 + x + 15 + x + 50 Reorder the terms: 40 + 4x = 55 + 15 + 50 + x + x + x Combine like terms: 55 + 15 = 70 40 + 4x = 70 + 50 + x + x + x Combine like terms: 70 + 50 = 120 40 + 4x = 120 + x + x + x Combine like terms: x + x = 2x 40 + 4x = 120 + 2x + x Combine like terms: 2x + x = 3x 40 + 4x = 120 + 3x Solving 40 + 4x = 120 + 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. 40 + 4x + -3x = 120 + 3x + -3x Combine like terms: 4x + -3x = 1x 40 + 1x = 120 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + 1x = 120 + 0 40 + 1x = 120 Add '-40' to each side of the equation. 40 + -40 + 1x = 120 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 120 + -40 1x = 120 + -40 Combine like terms: 120 + -40 = 80 1x = 80 Divide each side by '1'. x = 80 Simplifying x = 80
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