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Simplifying (4)(x + 5) = (9)(x + -3) Reorder the terms: 4(5 + x) = (9)(x + -3) (5 * 4 + x * 4) = (9)(x + -3) (20 + 4x) = (9)(x + -3) Reorder the terms: 20 + 4x = 9(-3 + x) 20 + 4x = (-3 * 9 + x * 9) 20 + 4x = (-27 + 9x) Solving 20 + 4x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + 4x + -9x = -27 + 9x + -9x Combine like terms: 4x + -9x = -5x 20 + -5x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -5x = -27 + 0 20 + -5x = -27 Add '-20' to each side of the equation. 20 + -20 + -5x = -27 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -27 + -20 -5x = -27 + -20 Combine like terms: -27 + -20 = -47 -5x = -47 Divide each side by '-5'. x = 9.4 Simplifying x = 9.4
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