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Simplifying 5(x + -2) + -4 = -6(-3x + 4) + -9x Reorder the terms: 5(-2 + x) + -4 = -6(-3x + 4) + -9x (-2 * 5 + x * 5) + -4 = -6(-3x + 4) + -9x (-10 + 5x) + -4 = -6(-3x + 4) + -9x Reorder the terms: -10 + -4 + 5x = -6(-3x + 4) + -9x Combine like terms: -10 + -4 = -14 -14 + 5x = -6(-3x + 4) + -9x Reorder the terms: -14 + 5x = -6(4 + -3x) + -9x -14 + 5x = (4 * -6 + -3x * -6) + -9x -14 + 5x = (-24 + 18x) + -9x Combine like terms: 18x + -9x = 9x -14 + 5x = -24 + 9x Solving -14 + 5x = -24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -14 + 5x + -9x = -24 + 9x + -9x Combine like terms: 5x + -9x = -4x -14 + -4x = -24 + 9x + -9x Combine like terms: 9x + -9x = 0 -14 + -4x = -24 + 0 -14 + -4x = -24 Add '14' to each side of the equation. -14 + 14 + -4x = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = -24 + 14 -4x = -24 + 14 Combine like terms: -24 + 14 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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