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Simplifying 6x + 22x + -3 + 2 = -10 + 9(2x + -3) + -1x Reorder the terms: -3 + 2 + 6x + 22x = -10 + 9(2x + -3) + -1x Combine like terms: -3 + 2 = -1 -1 + 6x + 22x = -10 + 9(2x + -3) + -1x Combine like terms: 6x + 22x = 28x -1 + 28x = -10 + 9(2x + -3) + -1x Reorder the terms: -1 + 28x = -10 + 9(-3 + 2x) + -1x -1 + 28x = -10 + (-3 * 9 + 2x * 9) + -1x -1 + 28x = -10 + (-27 + 18x) + -1x Combine like terms: -10 + -27 = -37 -1 + 28x = -37 + 18x + -1x Combine like terms: 18x + -1x = 17x -1 + 28x = -37 + 17x Solving -1 + 28x = -37 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -1 + 28x + -17x = -37 + 17x + -17x Combine like terms: 28x + -17x = 11x -1 + 11x = -37 + 17x + -17x Combine like terms: 17x + -17x = 0 -1 + 11x = -37 + 0 -1 + 11x = -37 Add '1' to each side of the equation. -1 + 1 + 11x = -37 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = -37 + 1 11x = -37 + 1 Combine like terms: -37 + 1 = -36 11x = -36 Divide each side by '11'. x = -3.272727273 Simplifying x = -3.272727273
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