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Simplifying -3(6x + -1) + 3(9 + -3x) + -2(4x + 3) = -5 Reorder the terms: -3(-1 + 6x) + 3(9 + -3x) + -2(4x + 3) = -5 (-1 * -3 + 6x * -3) + 3(9 + -3x) + -2(4x + 3) = -5 (3 + -18x) + 3(9 + -3x) + -2(4x + 3) = -5 3 + -18x + (9 * 3 + -3x * 3) + -2(4x + 3) = -5 3 + -18x + (27 + -9x) + -2(4x + 3) = -5 Reorder the terms: 3 + -18x + 27 + -9x + -2(3 + 4x) = -5 3 + -18x + 27 + -9x + (3 * -2 + 4x * -2) = -5 3 + -18x + 27 + -9x + (-6 + -8x) = -5 Reorder the terms: 3 + 27 + -6 + -18x + -9x + -8x = -5 Combine like terms: 3 + 27 = 30 30 + -6 + -18x + -9x + -8x = -5 Combine like terms: 30 + -6 = 24 24 + -18x + -9x + -8x = -5 Combine like terms: -18x + -9x = -27x 24 + -27x + -8x = -5 Combine like terms: -27x + -8x = -35x 24 + -35x = -5 Solving 24 + -35x = -5 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 + -35x = -5 + -24 Combine like terms: 24 + -24 = 0 0 + -35x = -5 + -24 -35x = -5 + -24 Combine like terms: -5 + -24 = -29 -35x = -29 Divide each side by '-35'. x = 0.8285714286 Simplifying x = 0.8285714286
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