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Simplifying 10(-3x + 9) = 3(-3x + -5) Reorder the terms: 10(9 + -3x) = 3(-3x + -5) (9 * 10 + -3x * 10) = 3(-3x + -5) (90 + -30x) = 3(-3x + -5) Reorder the terms: 90 + -30x = 3(-5 + -3x) 90 + -30x = (-5 * 3 + -3x * 3) 90 + -30x = (-15 + -9x) Solving 90 + -30x = -15 + -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. 90 + -30x + 9x = -15 + -9x + 9x Combine like terms: -30x + 9x = -21x 90 + -21x = -15 + -9x + 9x Combine like terms: -9x + 9x = 0 90 + -21x = -15 + 0 90 + -21x = -15 Add '-90' to each side of the equation. 90 + -90 + -21x = -15 + -90 Combine like terms: 90 + -90 = 0 0 + -21x = -15 + -90 -21x = -15 + -90 Combine like terms: -15 + -90 = -105 -21x = -105 Divide each side by '-21'. x = 5 Simplifying x = 5
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