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Simplifying 15x + -3(2x + -6) = 5x + -6 Reorder the terms: 15x + -3(-6 + 2x) = 5x + -6 15x + (-6 * -3 + 2x * -3) = 5x + -6 15x + (18 + -6x) = 5x + -6 Reorder the terms: 18 + 15x + -6x = 5x + -6 Combine like terms: 15x + -6x = 9x 18 + 9x = 5x + -6 Reorder the terms: 18 + 9x = -6 + 5x Solving 18 + 9x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 9x + -5x = -6 + 5x + -5x Combine like terms: 9x + -5x = 4x 18 + 4x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 4x = -6 + 0 18 + 4x = -6 Add '-18' to each side of the equation. 18 + -18 + 4x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = -6 + -18 4x = -6 + -18 Combine like terms: -6 + -18 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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