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Simplifying 6(3x + -2) + 3(10 + -3x) + -4(2x + 1) = -3 Reorder the terms: 6(-2 + 3x) + 3(10 + -3x) + -4(2x + 1) = -3 (-2 * 6 + 3x * 6) + 3(10 + -3x) + -4(2x + 1) = -3 (-12 + 18x) + 3(10 + -3x) + -4(2x + 1) = -3 -12 + 18x + (10 * 3 + -3x * 3) + -4(2x + 1) = -3 -12 + 18x + (30 + -9x) + -4(2x + 1) = -3 Reorder the terms: -12 + 18x + 30 + -9x + -4(1 + 2x) = -3 -12 + 18x + 30 + -9x + (1 * -4 + 2x * -4) = -3 -12 + 18x + 30 + -9x + (-4 + -8x) = -3 Reorder the terms: -12 + 30 + -4 + 18x + -9x + -8x = -3 Combine like terms: -12 + 30 = 18 18 + -4 + 18x + -9x + -8x = -3 Combine like terms: 18 + -4 = 14 14 + 18x + -9x + -8x = -3 Combine like terms: 18x + -9x = 9x 14 + 9x + -8x = -3 Combine like terms: 9x + -8x = 1x 14 + 1x = -3 Solving 14 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1x = -3 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -3 + -14 1x = -3 + -14 Combine like terms: -3 + -14 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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