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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 = -28 20 + 4x = -28 + 12x Solving 20 + 4x = -28 + 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 = -28 + 12x + -12x Combine like terms: 4x + -12x = -8x 20 + -8x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -8x = -28 + 0 20 + -8x = -28 Add '-20' to each side of the equation. 20 + -20 + -8x = -28 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -28 + -20 -8x = -28 + -20 Combine like terms: -28 + -20 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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