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