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Simplifying -3(5x + -7) + 6 = -15 + 27 Reorder the terms: -3(-7 + 5x) + 6 = -15 + 27 (-7 * -3 + 5x * -3) + 6 = -15 + 27 (21 + -15x) + 6 = -15 + 27 Reorder the terms: 21 + 6 + -15x = -15 + 27 Combine like terms: 21 + 6 = 27 27 + -15x = -15 + 27 Combine like terms: -15 + 27 = 12 27 + -15x = 12 Solving 27 + -15x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -15x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -15x = 12 + -27 -15x = 12 + -27 Combine like terms: 12 + -27 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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