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Simplifying 3(x + 2) + -2(x + 7) = 4x + 7 Reorder the terms: 3(2 + x) + -2(x + 7) = 4x + 7 (2 * 3 + x * 3) + -2(x + 7) = 4x + 7 (6 + 3x) + -2(x + 7) = 4x + 7 Reorder the terms: 6 + 3x + -2(7 + x) = 4x + 7 6 + 3x + (7 * -2 + x * -2) = 4x + 7 6 + 3x + (-14 + -2x) = 4x + 7 Reorder the terms: 6 + -14 + 3x + -2x = 4x + 7 Combine like terms: 6 + -14 = -8 -8 + 3x + -2x = 4x + 7 Combine like terms: 3x + -2x = 1x -8 + 1x = 4x + 7 Reorder the terms: -8 + 1x = 7 + 4x Solving -8 + 1x = 7 + 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. -8 + 1x + -4x = 7 + 4x + -4x Combine like terms: 1x + -4x = -3x -8 + -3x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -3x = 7 + 0 -8 + -3x = 7 Add '8' to each side of the equation. -8 + 8 + -3x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 7 + 8 -3x = 7 + 8 Combine like terms: 7 + 8 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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