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Simplifying 3(15 + -2x) + -6 = 7x (15 * 3 + -2x * 3) + -6 = 7x (45 + -6x) + -6 = 7x Reorder the terms: 45 + -6 + -6x = 7x Combine like terms: 45 + -6 = 39 39 + -6x = 7x Solving 39 + -6x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 39 + -6x + -7x = 7x + -7x Combine like terms: -6x + -7x = -13x 39 + -13x = 7x + -7x Combine like terms: 7x + -7x = 0 39 + -13x = 0 Add '-39' to each side of the equation. 39 + -39 + -13x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -13x = 0 + -39 -13x = 0 + -39 Combine like terms: 0 + -39 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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