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Simplifying 4x + -3(2x + 13) = 18 + 5(4x + -9) Reorder the terms: 4x + -3(13 + 2x) = 18 + 5(4x + -9) 4x + (13 * -3 + 2x * -3) = 18 + 5(4x + -9) 4x + (-39 + -6x) = 18 + 5(4x + -9) Reorder the terms: -39 + 4x + -6x = 18 + 5(4x + -9) Combine like terms: 4x + -6x = -2x -39 + -2x = 18 + 5(4x + -9) Reorder the terms: -39 + -2x = 18 + 5(-9 + 4x) -39 + -2x = 18 + (-9 * 5 + 4x * 5) -39 + -2x = 18 + (-45 + 20x) Combine like terms: 18 + -45 = -27 -39 + -2x = -27 + 20x Solving -39 + -2x = -27 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -39 + -2x + -20x = -27 + 20x + -20x Combine like terms: -2x + -20x = -22x -39 + -22x = -27 + 20x + -20x Combine like terms: 20x + -20x = 0 -39 + -22x = -27 + 0 -39 + -22x = -27 Add '39' to each side of the equation. -39 + 39 + -22x = -27 + 39 Combine like terms: -39 + 39 = 0 0 + -22x = -27 + 39 -22x = -27 + 39 Combine like terms: -27 + 39 = 12 -22x = 12 Divide each side by '-22'. x = -0.5454545455 Simplifying x = -0.5454545455
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