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Simplifying 7x + 5 + -4x = 2(3x + -7) Reorder the terms: 5 + 7x + -4x = 2(3x + -7) Combine like terms: 7x + -4x = 3x 5 + 3x = 2(3x + -7) Reorder the terms: 5 + 3x = 2(-7 + 3x) 5 + 3x = (-7 * 2 + 3x * 2) 5 + 3x = (-14 + 6x) Solving 5 + 3x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 3x + -6x = -14 + 6x + -6x Combine like terms: 3x + -6x = -3x 5 + -3x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -3x = -14 + 0 5 + -3x = -14 Add '-5' to each side of the equation. 5 + -5 + -3x = -14 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -14 + -5 -3x = -14 + -5 Combine like terms: -14 + -5 = -19 -3x = -19 Divide each side by '-3'. x = 6.333333333 Simplifying x = 6.333333333
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