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Simplifying 5x + -2(x + -3) = -3(x + -6) Reorder the terms: 5x + -2(-3 + x) = -3(x + -6) 5x + (-3 * -2 + x * -2) = -3(x + -6) 5x + (6 + -2x) = -3(x + -6) Reorder the terms: 6 + 5x + -2x = -3(x + -6) Combine like terms: 5x + -2x = 3x 6 + 3x = -3(x + -6) Reorder the terms: 6 + 3x = -3(-6 + x) 6 + 3x = (-6 * -3 + x * -3) 6 + 3x = (18 + -3x) Solving 6 + 3x = 18 + -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. 6 + 3x + 3x = 18 + -3x + 3x Combine like terms: 3x + 3x = 6x 6 + 6x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 6x = 18 + 0 6 + 6x = 18 Add '-6' to each side of the equation. 6 + -6 + 6x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 18 + -6 6x = 18 + -6 Combine like terms: 18 + -6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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