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Simplifying 15x + -3(3x + -6) = 5x + 13 Reorder the terms: 15x + -3(-6 + 3x) = 5x + 13 15x + (-6 * -3 + 3x * -3) = 5x + 13 15x + (18 + -9x) = 5x + 13 Reorder the terms: 18 + 15x + -9x = 5x + 13 Combine like terms: 15x + -9x = 6x 18 + 6x = 5x + 13 Reorder the terms: 18 + 6x = 13 + 5x Solving 18 + 6x = 13 + 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 + 6x + -5x = 13 + 5x + -5x Combine like terms: 6x + -5x = 1x 18 + 1x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 1x = 13 + 0 18 + 1x = 13 Add '-18' to each side of the equation. 18 + -18 + 1x = 13 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 13 + -18 1x = 13 + -18 Combine like terms: 13 + -18 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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