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