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Simplifying 4(5 + x) = 3(4x + 1) + -25 (5 * 4 + x * 4) = 3(4x + 1) + -25 (20 + 4x) = 3(4x + 1) + -25 Reorder the terms: 20 + 4x = 3(1 + 4x) + -25 20 + 4x = (1 * 3 + 4x * 3) + -25 20 + 4x = (3 + 12x) + -25 Reorder the terms: 20 + 4x = 3 + -25 + 12x Combine like terms: 3 + -25 = -22 20 + 4x = -22 + 12x Solving 20 + 4x = -22 + 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. 20 + 4x + -12x = -22 + 12x + -12x Combine like terms: 4x + -12x = -8x 20 + -8x = -22 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -8x = -22 + 0 20 + -8x = -22 Add '-20' to each side of the equation. 20 + -20 + -8x = -22 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -22 + -20 -8x = -22 + -20 Combine like terms: -22 + -20 = -42 -8x = -42 Divide each side by '-8'. x = 5.25 Simplifying x = 5.25
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