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Simplifying 5(1 + x) + -3(x + 2) = 8 + 6x + 5x (1 * 5 + x * 5) + -3(x + 2) = 8 + 6x + 5x (5 + 5x) + -3(x + 2) = 8 + 6x + 5x Reorder the terms: 5 + 5x + -3(2 + x) = 8 + 6x + 5x 5 + 5x + (2 * -3 + x * -3) = 8 + 6x + 5x 5 + 5x + (-6 + -3x) = 8 + 6x + 5x Reorder the terms: 5 + -6 + 5x + -3x = 8 + 6x + 5x Combine like terms: 5 + -6 = -1 -1 + 5x + -3x = 8 + 6x + 5x Combine like terms: 5x + -3x = 2x -1 + 2x = 8 + 6x + 5x Combine like terms: 6x + 5x = 11x -1 + 2x = 8 + 11x Solving -1 + 2x = 8 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -1 + 2x + -11x = 8 + 11x + -11x Combine like terms: 2x + -11x = -9x -1 + -9x = 8 + 11x + -11x Combine like terms: 11x + -11x = 0 -1 + -9x = 8 + 0 -1 + -9x = 8 Add '1' to each side of the equation. -1 + 1 + -9x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 8 + 1 -9x = 8 + 1 Combine like terms: 8 + 1 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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