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Simplifying 2x + -5(x + 3) = 6 + -7x Reorder the terms: 2x + -5(3 + x) = 6 + -7x 2x + (3 * -5 + x * -5) = 6 + -7x 2x + (-15 + -5x) = 6 + -7x Reorder the terms: -15 + 2x + -5x = 6 + -7x Combine like terms: 2x + -5x = -3x -15 + -3x = 6 + -7x Solving -15 + -3x = 6 + -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 + -3x + 7x = 6 + -7x + 7x Combine like terms: -3x + 7x = 4x -15 + 4x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 4x = 6 + 0 -15 + 4x = 6 Add '15' to each side of the equation. -15 + 15 + 4x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 6 + 15 4x = 6 + 15 Combine like terms: 6 + 15 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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