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Simplifying 10x + -3(2x + -9) = 9(x + -1) + 1 Reorder the terms: 10x + -3(-9 + 2x) = 9(x + -1) + 1 10x + (-9 * -3 + 2x * -3) = 9(x + -1) + 1 10x + (27 + -6x) = 9(x + -1) + 1 Reorder the terms: 27 + 10x + -6x = 9(x + -1) + 1 Combine like terms: 10x + -6x = 4x 27 + 4x = 9(x + -1) + 1 Reorder the terms: 27 + 4x = 9(-1 + x) + 1 27 + 4x = (-1 * 9 + x * 9) + 1 27 + 4x = (-9 + 9x) + 1 Reorder the terms: 27 + 4x = -9 + 1 + 9x Combine like terms: -9 + 1 = -8 27 + 4x = -8 + 9x Solving 27 + 4x = -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 + 4x + -9x = -8 + 9x + -9x Combine like terms: 4x + -9x = -5x 27 + -5x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 27 + -5x = -8 + 0 27 + -5x = -8 Add '-27' to each side of the equation. 27 + -27 + -5x = -8 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = -8 + -27 -5x = -8 + -27 Combine like terms: -8 + -27 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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