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Simplifying 5(x + -3) + -1 = 3(x + 6) Reorder the terms: 5(-3 + x) + -1 = 3(x + 6) (-3 * 5 + x * 5) + -1 = 3(x + 6) (-15 + 5x) + -1 = 3(x + 6) Reorder the terms: -15 + -1 + 5x = 3(x + 6) Combine like terms: -15 + -1 = -16 -16 + 5x = 3(x + 6) Reorder the terms: -16 + 5x = 3(6 + x) -16 + 5x = (6 * 3 + x * 3) -16 + 5x = (18 + 3x) Solving -16 + 5x = 18 + 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. -16 + 5x + -3x = 18 + 3x + -3x Combine like terms: 5x + -3x = 2x -16 + 2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 2x = 18 + 0 -16 + 2x = 18 Add '16' to each side of the equation. -16 + 16 + 2x = 18 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 18 + 16 2x = 18 + 16 Combine like terms: 18 + 16 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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