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Simplifying 4x + 6(-2x + -3) = -17 + -9x Reorder the terms: 4x + 6(-3 + -2x) = -17 + -9x 4x + (-3 * 6 + -2x * 6) = -17 + -9x 4x + (-18 + -12x) = -17 + -9x Reorder the terms: -18 + 4x + -12x = -17 + -9x Combine like terms: 4x + -12x = -8x -18 + -8x = -17 + -9x Solving -18 + -8x = -17 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -18 + -8x + 9x = -17 + -9x + 9x Combine like terms: -8x + 9x = 1x -18 + 1x = -17 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + 1x = -17 + 0 -18 + 1x = -17 Add '18' to each side of the equation. -18 + 18 + 1x = -17 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -17 + 18 1x = -17 + 18 Combine like terms: -17 + 18 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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