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Simplifying 3(5x + -6) = 30 + -3(2x + -5) Reorder the terms: 3(-6 + 5x) = 30 + -3(2x + -5) (-6 * 3 + 5x * 3) = 30 + -3(2x + -5) (-18 + 15x) = 30 + -3(2x + -5) Reorder the terms: -18 + 15x = 30 + -3(-5 + 2x) -18 + 15x = 30 + (-5 * -3 + 2x * -3) -18 + 15x = 30 + (15 + -6x) Combine like terms: 30 + 15 = 45 -18 + 15x = 45 + -6x Solving -18 + 15x = 45 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -18 + 15x + 6x = 45 + -6x + 6x Combine like terms: 15x + 6x = 21x -18 + 21x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + 21x = 45 + 0 -18 + 21x = 45 Add '18' to each side of the equation. -18 + 18 + 21x = 45 + 18 Combine like terms: -18 + 18 = 0 0 + 21x = 45 + 18 21x = 45 + 18 Combine like terms: 45 + 18 = 63 21x = 63 Divide each side by '21'. x = 3 Simplifying x = 3
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