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Simplifying 3x + -18 + 2(x + 40) = 4(x + 20) Reorder the terms: 3x + -18 + 2(40 + x) = 4(x + 20) 3x + -18 + (40 * 2 + x * 2) = 4(x + 20) 3x + -18 + (80 + 2x) = 4(x + 20) Reorder the terms: -18 + 80 + 3x + 2x = 4(x + 20) Combine like terms: -18 + 80 = 62 62 + 3x + 2x = 4(x + 20) Combine like terms: 3x + 2x = 5x 62 + 5x = 4(x + 20) Reorder the terms: 62 + 5x = 4(20 + x) 62 + 5x = (20 * 4 + x * 4) 62 + 5x = (80 + 4x) Solving 62 + 5x = 80 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 62 + 5x + -4x = 80 + 4x + -4x Combine like terms: 5x + -4x = 1x 62 + 1x = 80 + 4x + -4x Combine like terms: 4x + -4x = 0 62 + 1x = 80 + 0 62 + 1x = 80 Add '-62' to each side of the equation. 62 + -62 + 1x = 80 + -62 Combine like terms: 62 + -62 = 0 0 + 1x = 80 + -62 1x = 80 + -62 Combine like terms: 80 + -62 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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