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Simplifying 4(2x + -7) + 9(4x + -3) = 297 Reorder the terms: 4(-7 + 2x) + 9(4x + -3) = 297 (-7 * 4 + 2x * 4) + 9(4x + -3) = 297 (-28 + 8x) + 9(4x + -3) = 297 Reorder the terms: -28 + 8x + 9(-3 + 4x) = 297 -28 + 8x + (-3 * 9 + 4x * 9) = 297 -28 + 8x + (-27 + 36x) = 297 Reorder the terms: -28 + -27 + 8x + 36x = 297 Combine like terms: -28 + -27 = -55 -55 + 8x + 36x = 297 Combine like terms: 8x + 36x = 44x -55 + 44x = 297 Solving -55 + 44x = 297 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 44x = 297 + 55 Combine like terms: -55 + 55 = 0 0 + 44x = 297 + 55 44x = 297 + 55 Combine like terms: 297 + 55 = 352 44x = 352 Divide each side by '44'. x = 8 Simplifying x = 8
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