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Simplifying 5(x + -3) + 6 = 1 + 3x Reorder the terms: 5(-3 + x) + 6 = 1 + 3x (-3 * 5 + x * 5) + 6 = 1 + 3x (-15 + 5x) + 6 = 1 + 3x Reorder the terms: -15 + 6 + 5x = 1 + 3x Combine like terms: -15 + 6 = -9 -9 + 5x = 1 + 3x Solving -9 + 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. -9 + 5x + -3x = 1 + 3x + -3x Combine like terms: 5x + -3x = 2x -9 + 2x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 2x = 1 + 0 -9 + 2x = 1 Add '9' to each side of the equation. -9 + 9 + 2x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 1 + 9 2x = 1 + 9 Combine like terms: 1 + 9 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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