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Simplifying 3x + 2(x + -7) = 2(x + 4) + -5 Reorder the terms: 3x + 2(-7 + x) = 2(x + 4) + -5 3x + (-7 * 2 + x * 2) = 2(x + 4) + -5 3x + (-14 + 2x) = 2(x + 4) + -5 Reorder the terms: -14 + 3x + 2x = 2(x + 4) + -5 Combine like terms: 3x + 2x = 5x -14 + 5x = 2(x + 4) + -5 Reorder the terms: -14 + 5x = 2(4 + x) + -5 -14 + 5x = (4 * 2 + x * 2) + -5 -14 + 5x = (8 + 2x) + -5 Reorder the terms: -14 + 5x = 8 + -5 + 2x Combine like terms: 8 + -5 = 3 -14 + 5x = 3 + 2x Solving -14 + 5x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 5x + -2x = 3 + 2x + -2x Combine like terms: 5x + -2x = 3x -14 + 3x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 3x = 3 + 0 -14 + 3x = 3 Add '14' to each side of the equation. -14 + 14 + 3x = 3 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 3 + 14 3x = 3 + 14 Combine like terms: 3 + 14 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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