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Simplifying 4(9x + 7) + 8(11 + -1x) = 0 Reorder the terms: 4(7 + 9x) + 8(11 + -1x) = 0 (7 * 4 + 9x * 4) + 8(11 + -1x) = 0 (28 + 36x) + 8(11 + -1x) = 0 28 + 36x + (11 * 8 + -1x * 8) = 0 28 + 36x + (88 + -8x) = 0 Reorder the terms: 28 + 88 + 36x + -8x = 0 Combine like terms: 28 + 88 = 116 116 + 36x + -8x = 0 Combine like terms: 36x + -8x = 28x 116 + 28x = 0 Solving 116 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-116' to each side of the equation. 116 + -116 + 28x = 0 + -116 Combine like terms: 116 + -116 = 0 0 + 28x = 0 + -116 28x = 0 + -116 Combine like terms: 0 + -116 = -116 28x = -116 Divide each side by '28'. x = -4.142857143 Simplifying x = -4.142857143
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