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