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Simplifying -3(x + 5) = 4x + 6 Reorder the terms: -3(5 + x) = 4x + 6 (5 * -3 + x * -3) = 4x + 6 (-15 + -3x) = 4x + 6 Reorder the terms: -15 + -3x = 6 + 4x Solving -15 + -3x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + -3x + -4x = 6 + 4x + -4x Combine like terms: -3x + -4x = -7x -15 + -7x = 6 + 4x + -4x Combine like terms: 4x + -4x = 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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