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Simplifying 3(x + 15) = 21 + -4(2x + -5) Reorder the terms: 3(15 + x) = 21 + -4(2x + -5) (15 * 3 + x * 3) = 21 + -4(2x + -5) (45 + 3x) = 21 + -4(2x + -5) Reorder the terms: 45 + 3x = 21 + -4(-5 + 2x) 45 + 3x = 21 + (-5 * -4 + 2x * -4) 45 + 3x = 21 + (20 + -8x) Combine like terms: 21 + 20 = 41 45 + 3x = 41 + -8x Solving 45 + 3x = 41 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 45 + 3x + 8x = 41 + -8x + 8x Combine like terms: 3x + 8x = 11x 45 + 11x = 41 + -8x + 8x Combine like terms: -8x + 8x = 0 45 + 11x = 41 + 0 45 + 11x = 41 Add '-45' to each side of the equation. 45 + -45 + 11x = 41 + -45 Combine like terms: 45 + -45 = 0 0 + 11x = 41 + -45 11x = 41 + -45 Combine like terms: 41 + -45 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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