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Simplifying 5x + 2(x + -7) = 4(x + 1) + -2 Reorder the terms: 5x + 2(-7 + x) = 4(x + 1) + -2 5x + (-7 * 2 + x * 2) = 4(x + 1) + -2 5x + (-14 + 2x) = 4(x + 1) + -2 Reorder the terms: -14 + 5x + 2x = 4(x + 1) + -2 Combine like terms: 5x + 2x = 7x -14 + 7x = 4(x + 1) + -2 Reorder the terms: -14 + 7x = 4(1 + x) + -2 -14 + 7x = (1 * 4 + x * 4) + -2 -14 + 7x = (4 + 4x) + -2 Reorder the terms: -14 + 7x = 4 + -2 + 4x Combine like terms: 4 + -2 = 2 -14 + 7x = 2 + 4x Solving -14 + 7x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 7x + -4x = 2 + 4x + -4x Combine like terms: 7x + -4x = 3x -14 + 3x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 3x = 2 + 0 -14 + 3x = 2 Add '14' to each side of the equation. -14 + 14 + 3x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 2 + 14 3x = 2 + 14 Combine like terms: 2 + 14 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333
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