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Simplifying 5(3x + -2) + -8(2x + 3) + -9 = -51 Reorder the terms: 5(-2 + 3x) + -8(2x + 3) + -9 = -51 (-2 * 5 + 3x * 5) + -8(2x + 3) + -9 = -51 (-10 + 15x) + -8(2x + 3) + -9 = -51 Reorder the terms: -10 + 15x + -8(3 + 2x) + -9 = -51 -10 + 15x + (3 * -8 + 2x * -8) + -9 = -51 -10 + 15x + (-24 + -16x) + -9 = -51 Reorder the terms: -10 + -24 + -9 + 15x + -16x = -51 Combine like terms: -10 + -24 = -34 -34 + -9 + 15x + -16x = -51 Combine like terms: -34 + -9 = -43 -43 + 15x + -16x = -51 Combine like terms: 15x + -16x = -1x -43 + -1x = -51 Solving -43 + -1x = -51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -1x = -51 + 43 Combine like terms: -43 + 43 = 0 0 + -1x = -51 + 43 -1x = -51 + 43 Combine like terms: -51 + 43 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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