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Simplifying -8(-3x + 5) + -7(-4x + (-9)) = 0 Reorder the terms: -8(5 + -3x) + -7(-4x + (-9)) = 0 (5 * -8 + -3x * -8) + -7(-4x + (-9)) = 0 (-40 + 24x) + -7(-4x + (-9)) = 0 -40 + 24x + -7(-4x + -9) = 0 Reorder the terms: -40 + 24x + -7(-9 + -4x) = 0 -40 + 24x + (-9 * -7 + -4x * -7) = 0 -40 + 24x + (63 + 28x) = 0 Reorder the terms: -40 + 63 + 24x + 28x = 0 Combine like terms: -40 + 63 = 23 23 + 24x + 28x = 0 Combine like terms: 24x + 28x = 52x 23 + 52x = 0 Solving 23 + 52x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 52x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 52x = 0 + -23 52x = 0 + -23 Combine like terms: 0 + -23 = -23 52x = -23 Divide each side by '52'. x = -0.4423076923 Simplifying x = -0.4423076923
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