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Simplifying 9(x + -3) = 3(5x + -17) Reorder the terms: 9(-3 + x) = 3(5x + -17) (-3 * 9 + x * 9) = 3(5x + -17) (-27 + 9x) = 3(5x + -17) Reorder the terms: -27 + 9x = 3(-17 + 5x) -27 + 9x = (-17 * 3 + 5x * 3) -27 + 9x = (-51 + 15x) Solving -27 + 9x = -51 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -27 + 9x + -15x = -51 + 15x + -15x Combine like terms: 9x + -15x = -6x -27 + -6x = -51 + 15x + -15x Combine like terms: 15x + -15x = 0 -27 + -6x = -51 + 0 -27 + -6x = -51 Add '27' to each side of the equation. -27 + 27 + -6x = -51 + 27 Combine like terms: -27 + 27 = 0 0 + -6x = -51 + 27 -6x = -51 + 27 Combine like terms: -51 + 27 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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