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Simplifying -3x + 4(2x + -7) = -17 + -6x Reorder the terms: -3x + 4(-7 + 2x) = -17 + -6x -3x + (-7 * 4 + 2x * 4) = -17 + -6x -3x + (-28 + 8x) = -17 + -6x Reorder the terms: -28 + -3x + 8x = -17 + -6x Combine like terms: -3x + 8x = 5x -28 + 5x = -17 + -6x Solving -28 + 5x = -17 + -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. -28 + 5x + 6x = -17 + -6x + 6x Combine like terms: 5x + 6x = 11x -28 + 11x = -17 + -6x + 6x Combine like terms: -6x + 6x = 0 -28 + 11x = -17 + 0 -28 + 11x = -17 Add '28' to each side of the equation. -28 + 28 + 11x = -17 + 28 Combine like terms: -28 + 28 = 0 0 + 11x = -17 + 28 11x = -17 + 28 Combine like terms: -17 + 28 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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