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Simplifying 8(4x + 4) + 3(5x + 7) = 124 Reorder the terms: 8(4 + 4x) + 3(5x + 7) = 124 (4 * 8 + 4x * 8) + 3(5x + 7) = 124 (32 + 32x) + 3(5x + 7) = 124 Reorder the terms: 32 + 32x + 3(7 + 5x) = 124 32 + 32x + (7 * 3 + 5x * 3) = 124 32 + 32x + (21 + 15x) = 124 Reorder the terms: 32 + 21 + 32x + 15x = 124 Combine like terms: 32 + 21 = 53 53 + 32x + 15x = 124 Combine like terms: 32x + 15x = 47x 53 + 47x = 124 Solving 53 + 47x = 124 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 47x = 124 + -53 Combine like terms: 53 + -53 = 0 0 + 47x = 124 + -53 47x = 124 + -53 Combine like terms: 124 + -53 = 71 47x = 71 Divide each side by '47'. x = 1.510638298 Simplifying x = 1.510638298
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