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Simplifying 2(x + -7) + -3(x + 2) + 4(x + 1) = 0 Reorder the terms: 2(-7 + x) + -3(x + 2) + 4(x + 1) = 0 (-7 * 2 + x * 2) + -3(x + 2) + 4(x + 1) = 0 (-14 + 2x) + -3(x + 2) + 4(x + 1) = 0 Reorder the terms: -14 + 2x + -3(2 + x) + 4(x + 1) = 0 -14 + 2x + (2 * -3 + x * -3) + 4(x + 1) = 0 -14 + 2x + (-6 + -3x) + 4(x + 1) = 0 Reorder the terms: -14 + 2x + -6 + -3x + 4(1 + x) = 0 -14 + 2x + -6 + -3x + (1 * 4 + x * 4) = 0 -14 + 2x + -6 + -3x + (4 + 4x) = 0 Reorder the terms: -14 + -6 + 4 + 2x + -3x + 4x = 0 Combine like terms: -14 + -6 = -20 -20 + 4 + 2x + -3x + 4x = 0 Combine like terms: -20 + 4 = -16 -16 + 2x + -3x + 4x = 0 Combine like terms: 2x + -3x = -1x -16 + -1x + 4x = 0 Combine like terms: -1x + 4x = 3x -16 + 3x = 0 Solving -16 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 3x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 0 + 16 3x = 0 + 16 Combine like terms: 0 + 16 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333
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