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Simplifying 9(x + -4) = 5(3x + -2) Reorder the terms: 9(-4 + x) = 5(3x + -2) (-4 * 9 + x * 9) = 5(3x + -2) (-36 + 9x) = 5(3x + -2) Reorder the terms: -36 + 9x = 5(-2 + 3x) -36 + 9x = (-2 * 5 + 3x * 5) -36 + 9x = (-10 + 15x) Solving -36 + 9x = -10 + 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. -36 + 9x + -15x = -10 + 15x + -15x Combine like terms: 9x + -15x = -6x -36 + -6x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -36 + -6x = -10 + 0 -36 + -6x = -10 Add '36' to each side of the equation. -36 + 36 + -6x = -10 + 36 Combine like terms: -36 + 36 = 0 0 + -6x = -10 + 36 -6x = -10 + 36 Combine like terms: -10 + 36 = 26 -6x = 26 Divide each side by '-6'. x = -4.333333333 Simplifying x = -4.333333333
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