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Simplifying 6x + x + 2x + -4 + 5 = -14 + 9(x + 2x + -4) + -1x Reorder the terms: -4 + 5 + 6x + x + 2x = -14 + 9(x + 2x + -4) + -1x Combine like terms: -4 + 5 = 1 1 + 6x + x + 2x = -14 + 9(x + 2x + -4) + -1x Combine like terms: 6x + x = 7x 1 + 7x + 2x = -14 + 9(x + 2x + -4) + -1x Combine like terms: 7x + 2x = 9x 1 + 9x = -14 + 9(x + 2x + -4) + -1x Reorder the terms: 1 + 9x = -14 + 9(-4 + x + 2x) + -1x Combine like terms: x + 2x = 3x 1 + 9x = -14 + 9(-4 + 3x) + -1x 1 + 9x = -14 + (-4 * 9 + 3x * 9) + -1x 1 + 9x = -14 + (-36 + 27x) + -1x Combine like terms: -14 + -36 = -50 1 + 9x = -50 + 27x + -1x Combine like terms: 27x + -1x = 26x 1 + 9x = -50 + 26x Solving 1 + 9x = -50 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 1 + 9x + -26x = -50 + 26x + -26x Combine like terms: 9x + -26x = -17x 1 + -17x = -50 + 26x + -26x Combine like terms: 26x + -26x = 0 1 + -17x = -50 + 0 1 + -17x = -50 Add '-1' to each side of the equation. 1 + -1 + -17x = -50 + -1 Combine like terms: 1 + -1 = 0 0 + -17x = -50 + -1 -17x = -50 + -1 Combine like terms: -50 + -1 = -51 -17x = -51 Divide each side by '-17'. x = 3 Simplifying x = 3
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