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Simplifying 8 + 5(x + -3) = 9x + -1(6x + 1) Reorder the terms: 8 + 5(-3 + x) = 9x + -1(6x + 1) 8 + (-3 * 5 + x * 5) = 9x + -1(6x + 1) 8 + (-15 + 5x) = 9x + -1(6x + 1) Combine like terms: 8 + -15 = -7 -7 + 5x = 9x + -1(6x + 1) Reorder the terms: -7 + 5x = 9x + -1(1 + 6x) -7 + 5x = 9x + (1 * -1 + 6x * -1) -7 + 5x = 9x + (-1 + -6x) Reorder the terms: -7 + 5x = -1 + 9x + -6x Combine like terms: 9x + -6x = 3x -7 + 5x = -1 + 3x Solving -7 + 5x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 5x + -3x = -1 + 3x + -3x Combine like terms: 5x + -3x = 2x -7 + 2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 2x = -1 + 0 -7 + 2x = -1 Add '7' to each side of the equation. -7 + 7 + 2x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -1 + 7 2x = -1 + 7 Combine like terms: -1 + 7 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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