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Simplifying 4(9x + 4) = 8(5x + -7) Reorder the terms: 4(4 + 9x) = 8(5x + -7) (4 * 4 + 9x * 4) = 8(5x + -7) (16 + 36x) = 8(5x + -7) Reorder the terms: 16 + 36x = 8(-7 + 5x) 16 + 36x = (-7 * 8 + 5x * 8) 16 + 36x = (-56 + 40x) Solving 16 + 36x = -56 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 16 + 36x + -40x = -56 + 40x + -40x Combine like terms: 36x + -40x = -4x 16 + -4x = -56 + 40x + -40x Combine like terms: 40x + -40x = 0 16 + -4x = -56 + 0 16 + -4x = -56 Add '-16' to each side of the equation. 16 + -16 + -4x = -56 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = -56 + -16 -4x = -56 + -16 Combine like terms: -56 + -16 = -72 -4x = -72 Divide each side by '-4'. x = 18 Simplifying x = 18
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