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Simplifying 3(x + 5) + -2(3x + -3) = -3(2 + -1x) Reorder the terms: 3(5 + x) + -2(3x + -3) = -3(2 + -1x) (5 * 3 + x * 3) + -2(3x + -3) = -3(2 + -1x) (15 + 3x) + -2(3x + -3) = -3(2 + -1x) Reorder the terms: 15 + 3x + -2(-3 + 3x) = -3(2 + -1x) 15 + 3x + (-3 * -2 + 3x * -2) = -3(2 + -1x) 15 + 3x + (6 + -6x) = -3(2 + -1x) Reorder the terms: 15 + 6 + 3x + -6x = -3(2 + -1x) Combine like terms: 15 + 6 = 21 21 + 3x + -6x = -3(2 + -1x) Combine like terms: 3x + -6x = -3x 21 + -3x = -3(2 + -1x) 21 + -3x = (2 * -3 + -1x * -3) 21 + -3x = (-6 + 3x) Solving 21 + -3x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + -3x + -3x = -6 + 3x + -3x Combine like terms: -3x + -3x = -6x 21 + -6x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + -6x = -6 + 0 21 + -6x = -6 Add '-21' to each side of the equation. 21 + -21 + -6x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = -6 + -21 -6x = -6 + -21 Combine like terms: -6 + -21 = -27 -6x = -27 Divide each side by '-6'. x = 4.5 Simplifying x = 4.5
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