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Simplifying -5(x + 3) = 2x + 6 Reorder the terms: -5(3 + x) = 2x + 6 (3 * -5 + x * -5) = 2x + 6 (-15 + -5x) = 2x + 6 Reorder the terms: -15 + -5x = 6 + 2x Solving -15 + -5x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -5x + -2x = 6 + 2x + -2x Combine like terms: -5x + -2x = -7x -15 + -7x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -7x = 6 + 0 -15 + -7x = 6 Add '15' to each side of the equation. -15 + 15 + -7x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 6 + 15 -7x = 6 + 15 Combine like terms: 6 + 15 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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