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Simplifying -6 + 3(5x + -2) = -3(7 + -2x) Reorder the terms: -6 + 3(-2 + 5x) = -3(7 + -2x) -6 + (-2 * 3 + 5x * 3) = -3(7 + -2x) -6 + (-6 + 15x) = -3(7 + -2x) Combine like terms: -6 + -6 = -12 -12 + 15x = -3(7 + -2x) -12 + 15x = (7 * -3 + -2x * -3) -12 + 15x = (-21 + 6x) Solving -12 + 15x = -21 + 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. -12 + 15x + -6x = -21 + 6x + -6x Combine like terms: 15x + -6x = 9x -12 + 9x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 9x = -21 + 0 -12 + 9x = -21 Add '12' to each side of the equation. -12 + 12 + 9x = -21 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -21 + 12 9x = -21 + 12 Combine like terms: -21 + 12 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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