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Simplifying 5(3x + -4) = 9(x + -3) + -16 Reorder the terms: 5(-4 + 3x) = 9(x + -3) + -16 (-4 * 5 + 3x * 5) = 9(x + -3) + -16 (-20 + 15x) = 9(x + -3) + -16 Reorder the terms: -20 + 15x = 9(-3 + x) + -16 -20 + 15x = (-3 * 9 + x * 9) + -16 -20 + 15x = (-27 + 9x) + -16 Reorder the terms: -20 + 15x = -27 + -16 + 9x Combine like terms: -27 + -16 = -43 -20 + 15x = -43 + 9x Solving -20 + 15x = -43 + 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 + 15x + -9x = -43 + 9x + -9x Combine like terms: 15x + -9x = 6x -20 + 6x = -43 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + 6x = -43 + 0 -20 + 6x = -43 Add '20' to each side of the equation. -20 + 20 + 6x = -43 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = -43 + 20 6x = -43 + 20 Combine like terms: -43 + 20 = -23 6x = -23 Divide each side by '6'. x = -3.833333333 Simplifying x = -3.833333333
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