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Simplifying 8(x + -3) = 2(2x + -7) + 9x Reorder the terms: 8(-3 + x) = 2(2x + -7) + 9x (-3 * 8 + x * 8) = 2(2x + -7) + 9x (-24 + 8x) = 2(2x + -7) + 9x Reorder the terms: -24 + 8x = 2(-7 + 2x) + 9x -24 + 8x = (-7 * 2 + 2x * 2) + 9x -24 + 8x = (-14 + 4x) + 9x Combine like terms: 4x + 9x = 13x -24 + 8x = -14 + 13x Solving -24 + 8x = -14 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -24 + 8x + -13x = -14 + 13x + -13x Combine like terms: 8x + -13x = -5x -24 + -5x = -14 + 13x + -13x Combine like terms: 13x + -13x = 0 -24 + -5x = -14 + 0 -24 + -5x = -14 Add '24' to each side of the equation. -24 + 24 + -5x = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = -14 + 24 -5x = -14 + 24 Combine like terms: -14 + 24 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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