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Simplifying -14 + 4x + 3 + -2 = 7x + 2 + 3 Reorder the terms: -14 + 3 + -2 + 4x = 7x + 2 + 3 Combine like terms: -14 + 3 = -11 -11 + -2 + 4x = 7x + 2 + 3 Combine like terms: -11 + -2 = -13 -13 + 4x = 7x + 2 + 3 Reorder the terms: -13 + 4x = 2 + 3 + 7x Combine like terms: 2 + 3 = 5 -13 + 4x = 5 + 7x Solving -13 + 4x = 5 + 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. -13 + 4x + -7x = 5 + 7x + -7x Combine like terms: 4x + -7x = -3x -13 + -3x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -3x = 5 + 0 -13 + -3x = 5 Add '13' to each side of the equation. -13 + 13 + -3x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 5 + 13 -3x = 5 + 13 Combine like terms: 5 + 13 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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