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Simplifying 8(4x + 2) + 5(3x + -7) = 122 Reorder the terms: 8(2 + 4x) + 5(3x + -7) = 122 (2 * 8 + 4x * 8) + 5(3x + -7) = 122 (16 + 32x) + 5(3x + -7) = 122 Reorder the terms: 16 + 32x + 5(-7 + 3x) = 122 16 + 32x + (-7 * 5 + 3x * 5) = 122 16 + 32x + (-35 + 15x) = 122 Reorder the terms: 16 + -35 + 32x + 15x = 122 Combine like terms: 16 + -35 = -19 -19 + 32x + 15x = 122 Combine like terms: 32x + 15x = 47x -19 + 47x = 122 Solving -19 + 47x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 47x = 122 + 19 Combine like terms: -19 + 19 = 0 0 + 47x = 122 + 19 47x = 122 + 19 Combine like terms: 122 + 19 = 141 47x = 141 Divide each side by '47'. x = 3 Simplifying x = 3
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