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Simplifying -4(3x + -3) + 9(x + 1) = 21x + -2 Reorder the terms: -4(-3 + 3x) + 9(x + 1) = 21x + -2 (-3 * -4 + 3x * -4) + 9(x + 1) = 21x + -2 (12 + -12x) + 9(x + 1) = 21x + -2 Reorder the terms: 12 + -12x + 9(1 + x) = 21x + -2 12 + -12x + (1 * 9 + x * 9) = 21x + -2 12 + -12x + (9 + 9x) = 21x + -2 Reorder the terms: 12 + 9 + -12x + 9x = 21x + -2 Combine like terms: 12 + 9 = 21 21 + -12x + 9x = 21x + -2 Combine like terms: -12x + 9x = -3x 21 + -3x = 21x + -2 Reorder the terms: 21 + -3x = -2 + 21x Solving 21 + -3x = -2 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 21 + -3x + -21x = -2 + 21x + -21x Combine like terms: -3x + -21x = -24x 21 + -24x = -2 + 21x + -21x Combine like terms: 21x + -21x = 0 21 + -24x = -2 + 0 21 + -24x = -2 Add '-21' to each side of the equation. 21 + -21 + -24x = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -24x = -2 + -21 -24x = -2 + -21 Combine like terms: -2 + -21 = -23 -24x = -23 Divide each side by '-24'. x = 0.9583333333 Simplifying x = 0.9583333333
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