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Simplifying 10x + -3(x + -9) = 9(x + -1) + 1 Reorder the terms: 10x + -3(-9 + x) = 9(x + -1) + 1 10x + (-9 * -3 + x * -3) = 9(x + -1) + 1 10x + (27 + -3x) = 9(x + -1) + 1 Reorder the terms: 27 + 10x + -3x = 9(x + -1) + 1 Combine like terms: 10x + -3x = 7x 27 + 7x = 9(x + -1) + 1 Reorder the terms: 27 + 7x = 9(-1 + x) + 1 27 + 7x = (-1 * 9 + x * 9) + 1 27 + 7x = (-9 + 9x) + 1 Reorder the terms: 27 + 7x = -9 + 1 + 9x Combine like terms: -9 + 1 = -8 27 + 7x = -8 + 9x Solving 27 + 7x = -8 + 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. 27 + 7x + -9x = -8 + 9x + -9x Combine like terms: 7x + -9x = -2x 27 + -2x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 27 + -2x = -8 + 0 27 + -2x = -8 Add '-27' to each side of the equation. 27 + -27 + -2x = -8 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = -8 + -27 -2x = -8 + -27 Combine like terms: -8 + -27 = -35 -2x = -35 Divide each side by '-2'. x = 17.5 Simplifying x = 17.5
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