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Simplifying 9 + -1(-2 + -3x) + 4(-1x + 6) + -1x + 12 + -3(2x + -3) = 0 9 + (-2 * -1 + -3x * -1) + 4(-1x + 6) + -1x + 12 + -3(2x + -3) = 0 9 + (2 + 3x) + 4(-1x + 6) + -1x + 12 + -3(2x + -3) = 0 Reorder the terms: 9 + 2 + 3x + 4(6 + -1x) + -1x + 12 + -3(2x + -3) = 0 9 + 2 + 3x + (6 * 4 + -1x * 4) + -1x + 12 + -3(2x + -3) = 0 9 + 2 + 3x + (24 + -4x) + -1x + 12 + -3(2x + -3) = 0 Reorder the terms: 9 + 2 + 3x + 24 + -4x + -1x + 12 + -3(-3 + 2x) = 0 9 + 2 + 3x + 24 + -4x + -1x + 12 + (-3 * -3 + 2x * -3) = 0 9 + 2 + 3x + 24 + -4x + -1x + 12 + (9 + -6x) = 0 Reorder the terms: 9 + 2 + 24 + 12 + 9 + 3x + -4x + -1x + -6x = 0 Combine like terms: 9 + 2 = 11 11 + 24 + 12 + 9 + 3x + -4x + -1x + -6x = 0 Combine like terms: 11 + 24 = 35 35 + 12 + 9 + 3x + -4x + -1x + -6x = 0 Combine like terms: 35 + 12 = 47 47 + 9 + 3x + -4x + -1x + -6x = 0 Combine like terms: 47 + 9 = 56 56 + 3x + -4x + -1x + -6x = 0 Combine like terms: 3x + -4x = -1x 56 + -1x + -1x + -6x = 0 Combine like terms: -1x + -1x = -2x 56 + -2x + -6x = 0 Combine like terms: -2x + -6x = -8x 56 + -8x = 0 Solving 56 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -8x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -8x = 0 + -56 -8x = 0 + -56 Combine like terms: 0 + -56 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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