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Simplifying 2(x + -7) + 2x = 3(x + 1) + -2 Reorder the terms: 2(-7 + x) + 2x = 3(x + 1) + -2 (-7 * 2 + x * 2) + 2x = 3(x + 1) + -2 (-14 + 2x) + 2x = 3(x + 1) + -2 Combine like terms: 2x + 2x = 4x -14 + 4x = 3(x + 1) + -2 Reorder the terms: -14 + 4x = 3(1 + x) + -2 -14 + 4x = (1 * 3 + x * 3) + -2 -14 + 4x = (3 + 3x) + -2 Reorder the terms: -14 + 4x = 3 + -2 + 3x Combine like terms: 3 + -2 = 1 -14 + 4x = 1 + 3x Solving -14 + 4x = 1 + 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. -14 + 4x + -3x = 1 + 3x + -3x Combine like terms: 4x + -3x = 1x -14 + 1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 1x = 1 + 0 -14 + 1x = 1 Add '14' to each side of the equation. -14 + 14 + 1x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 1 + 14 1x = 1 + 14 Combine like terms: 1 + 14 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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