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Simplifying -2(-7x + 3) + 3x = 8x + -15 Reorder the terms: -2(3 + -7x) + 3x = 8x + -15 (3 * -2 + -7x * -2) + 3x = 8x + -15 (-6 + 14x) + 3x = 8x + -15 Combine like terms: 14x + 3x = 17x -6 + 17x = 8x + -15 Reorder the terms: -6 + 17x = -15 + 8x Solving -6 + 17x = -15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 17x + -8x = -15 + 8x + -8x Combine like terms: 17x + -8x = 9x -6 + 9x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 9x = -15 + 0 -6 + 9x = -15 Add '6' to each side of the equation. -6 + 6 + 9x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -15 + 6 9x = -15 + 6 Combine like terms: -15 + 6 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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