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Simplifying 5x + -1 = 9 + 3(x + -6) Reorder the terms: -1 + 5x = 9 + 3(x + -6) Reorder the terms: -1 + 5x = 9 + 3(-6 + x) -1 + 5x = 9 + (-6 * 3 + x * 3) -1 + 5x = 9 + (-18 + 3x) Combine like terms: 9 + -18 = -9 -1 + 5x = -9 + 3x Solving -1 + 5x = -9 + 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. -1 + 5x + -3x = -9 + 3x + -3x Combine like terms: 5x + -3x = 2x -1 + 2x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 2x = -9 + 0 -1 + 2x = -9 Add '1' to each side of the equation. -1 + 1 + 2x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -9 + 1 2x = -9 + 1 Combine like terms: -9 + 1 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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