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Simplifying -62 = 4(6 + 7x) + 5(5x + 4) -62 = (6 * 4 + 7x * 4) + 5(5x + 4) -62 = (24 + 28x) + 5(5x + 4) Reorder the terms: -62 = 24 + 28x + 5(4 + 5x) -62 = 24 + 28x + (4 * 5 + 5x * 5) -62 = 24 + 28x + (20 + 25x) Reorder the terms: -62 = 24 + 20 + 28x + 25x Combine like terms: 24 + 20 = 44 -62 = 44 + 28x + 25x Combine like terms: 28x + 25x = 53x -62 = 44 + 53x Solving -62 = 44 + 53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53x' to each side of the equation. -62 + -53x = 44 + 53x + -53x Combine like terms: 53x + -53x = 0 -62 + -53x = 44 + 0 -62 + -53x = 44 Add '62' to each side of the equation. -62 + 62 + -53x = 44 + 62 Combine like terms: -62 + 62 = 0 0 + -53x = 44 + 62 -53x = 44 + 62 Combine like terms: 44 + 62 = 106 -53x = 106 Divide each side by '-53'. x = -2 Simplifying x = -2
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