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Simplifying x + -5(x + 3) = 3 + -7x Reorder the terms: x + -5(3 + x) = 3 + -7x x + (3 * -5 + x * -5) = 3 + -7x x + (-15 + -5x) = 3 + -7x Reorder the terms: -15 + x + -5x = 3 + -7x Combine like terms: x + -5x = -4x -15 + -4x = 3 + -7x Solving -15 + -4x = 3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -15 + -4x + 7x = 3 + -7x + 7x Combine like terms: -4x + 7x = 3x -15 + 3x = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 3x = 3 + 0 -15 + 3x = 3 Add '15' to each side of the equation. -15 + 15 + 3x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 3 + 15 3x = 3 + 15 Combine like terms: 3 + 15 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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