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Simplifying 3(x + -7) + -3(2x + 1) = 0 Reorder the terms: 3(-7 + x) + -3(2x + 1) = 0 (-7 * 3 + x * 3) + -3(2x + 1) = 0 (-21 + 3x) + -3(2x + 1) = 0 Reorder the terms: -21 + 3x + -3(1 + 2x) = 0 -21 + 3x + (1 * -3 + 2x * -3) = 0 -21 + 3x + (-3 + -6x) = 0 Reorder the terms: -21 + -3 + 3x + -6x = 0 Combine like terms: -21 + -3 = -24 -24 + 3x + -6x = 0 Combine like terms: 3x + -6x = -3x -24 + -3x = 0 Solving -24 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -3x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = 0 + 24 -3x = 0 + 24 Combine like terms: 0 + 24 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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