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Simplifying 40 + 4x = 12(x + 20) Reorder the terms: 40 + 4x = 12(20 + x) 40 + 4x = (20 * 12 + x * 12) 40 + 4x = (240 + 12x) Solving 40 + 4x = 240 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 4x + -12x = 240 + 12x + -12x Combine like terms: 4x + -12x = -8x 40 + -8x = 240 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -8x = 240 + 0 40 + -8x = 240 Add '-40' to each side of the equation. 40 + -40 + -8x = 240 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = 240 + -40 -8x = 240 + -40 Combine like terms: 240 + -40 = 200 -8x = 200 Divide each side by '-8'. x = -25 Simplifying x = -25
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