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Simplifying 4(5x + 4) = 7(3x + -16) + 7 Reorder the terms: 4(4 + 5x) = 7(3x + -16) + 7 (4 * 4 + 5x * 4) = 7(3x + -16) + 7 (16 + 20x) = 7(3x + -16) + 7 Reorder the terms: 16 + 20x = 7(-16 + 3x) + 7 16 + 20x = (-16 * 7 + 3x * 7) + 7 16 + 20x = (-112 + 21x) + 7 Reorder the terms: 16 + 20x = -112 + 7 + 21x Combine like terms: -112 + 7 = -105 16 + 20x = -105 + 21x Solving 16 + 20x = -105 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 16 + 20x + -21x = -105 + 21x + -21x Combine like terms: 20x + -21x = -1x 16 + -1x = -105 + 21x + -21x Combine like terms: 21x + -21x = 0 16 + -1x = -105 + 0 16 + -1x = -105 Add '-16' to each side of the equation. 16 + -16 + -1x = -105 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = -105 + -16 -1x = -105 + -16 Combine like terms: -105 + -16 = -121 -1x = -121 Divide each side by '-1'. x = 121 Simplifying x = 121
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