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Simplifying 4(8x + -9) + 3(7 + x) = 160 Reorder the terms: 4(-9 + 8x) + 3(7 + x) = 160 (-9 * 4 + 8x * 4) + 3(7 + x) = 160 (-36 + 32x) + 3(7 + x) = 160 -36 + 32x + (7 * 3 + x * 3) = 160 -36 + 32x + (21 + 3x) = 160 Reorder the terms: -36 + 21 + 32x + 3x = 160 Combine like terms: -36 + 21 = -15 -15 + 32x + 3x = 160 Combine like terms: 32x + 3x = 35x -15 + 35x = 160 Solving -15 + 35x = 160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 35x = 160 + 15 Combine like terms: -15 + 15 = 0 0 + 35x = 160 + 15 35x = 160 + 15 Combine like terms: 160 + 15 = 175 35x = 175 Divide each side by '35'. x = 5 Simplifying x = 5
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