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Simplifying (3x + -2) + -8(2x + 3) + -9 = 51 Reorder the terms: (-2 + 3x) + -8(2x + 3) + -9 = 51 Remove parenthesis around (-2 + 3x) -2 + 3x + -8(2x + 3) + -9 = 51 Reorder the terms: -2 + 3x + -8(3 + 2x) + -9 = 51 -2 + 3x + (3 * -8 + 2x * -8) + -9 = 51 -2 + 3x + (-24 + -16x) + -9 = 51 Reorder the terms: -2 + -24 + -9 + 3x + -16x = 51 Combine like terms: -2 + -24 = -26 -26 + -9 + 3x + -16x = 51 Combine like terms: -26 + -9 = -35 -35 + 3x + -16x = 51 Combine like terms: 3x + -16x = -13x -35 + -13x = 51 Solving -35 + -13x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -13x = 51 + 35 Combine like terms: -35 + 35 = 0 0 + -13x = 51 + 35 -13x = 51 + 35 Combine like terms: 51 + 35 = 86 -13x = 86 Divide each side by '-13'. x = -6.615384615 Simplifying x = -6.615384615
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