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Simplifying 3(x + -3) + -7(2x + -8) + -1(x + -1) = 0 Reorder the terms: 3(-3 + x) + -7(2x + -8) + -1(x + -1) = 0 (-3 * 3 + x * 3) + -7(2x + -8) + -1(x + -1) = 0 (-9 + 3x) + -7(2x + -8) + -1(x + -1) = 0 Reorder the terms: -9 + 3x + -7(-8 + 2x) + -1(x + -1) = 0 -9 + 3x + (-8 * -7 + 2x * -7) + -1(x + -1) = 0 -9 + 3x + (56 + -14x) + -1(x + -1) = 0 Reorder the terms: -9 + 3x + 56 + -14x + -1(-1 + x) = 0 -9 + 3x + 56 + -14x + (-1 * -1 + x * -1) = 0 -9 + 3x + 56 + -14x + (1 + -1x) = 0 Reorder the terms: -9 + 56 + 1 + 3x + -14x + -1x = 0 Combine like terms: -9 + 56 = 47 47 + 1 + 3x + -14x + -1x = 0 Combine like terms: 47 + 1 = 48 48 + 3x + -14x + -1x = 0 Combine like terms: 3x + -14x = -11x 48 + -11x + -1x = 0 Combine like terms: -11x + -1x = -12x 48 + -12x = 0 Solving 48 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -12x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -12x = 0 + -48 -12x = 0 + -48 Combine like terms: 0 + -48 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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