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Simplifying 5x + 3 + 2(x + -7) = 3x + -11 Reorder the terms: 5x + 3 + 2(-7 + x) = 3x + -11 5x + 3 + (-7 * 2 + x * 2) = 3x + -11 5x + 3 + (-14 + 2x) = 3x + -11 Reorder the terms: 3 + -14 + 5x + 2x = 3x + -11 Combine like terms: 3 + -14 = -11 -11 + 5x + 2x = 3x + -11 Combine like terms: 5x + 2x = 7x -11 + 7x = 3x + -11 Reorder the terms: -11 + 7x = -11 + 3x Add '11' to each side of the equation. -11 + 11 + 7x = -11 + 11 + 3x Combine like terms: -11 + 11 = 0 0 + 7x = -11 + 11 + 3x 7x = -11 + 11 + 3x Combine like terms: -11 + 11 = 0 7x = 0 + 3x 7x = 3x Solving 7x = 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. 7x + -3x = 3x + -3x Combine like terms: 7x + -3x = 4x 4x = 3x + -3x Combine like terms: 3x + -3x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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