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Simplifying 3(6x + -5) + 3(10 + -3x) + -2(4x + 2) = -3 Reorder the terms: 3(-5 + 6x) + 3(10 + -3x) + -2(4x + 2) = -3 (-5 * 3 + 6x * 3) + 3(10 + -3x) + -2(4x + 2) = -3 (-15 + 18x) + 3(10 + -3x) + -2(4x + 2) = -3 -15 + 18x + (10 * 3 + -3x * 3) + -2(4x + 2) = -3 -15 + 18x + (30 + -9x) + -2(4x + 2) = -3 Reorder the terms: -15 + 18x + 30 + -9x + -2(2 + 4x) = -3 -15 + 18x + 30 + -9x + (2 * -2 + 4x * -2) = -3 -15 + 18x + 30 + -9x + (-4 + -8x) = -3 Reorder the terms: -15 + 30 + -4 + 18x + -9x + -8x = -3 Combine like terms: -15 + 30 = 15 15 + -4 + 18x + -9x + -8x = -3 Combine like terms: 15 + -4 = 11 11 + 18x + -9x + -8x = -3 Combine like terms: 18x + -9x = 9x 11 + 9x + -8x = -3 Combine like terms: 9x + -8x = 1x 11 + 1x = -3 Solving 11 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1x = -3 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = -3 + -11 1x = -3 + -11 Combine like terms: -3 + -11 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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