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Simplifying 5x + -6 = 4(2x + -9) Reorder the terms: -6 + 5x = 4(2x + -9) Reorder the terms: -6 + 5x = 4(-9 + 2x) -6 + 5x = (-9 * 4 + 2x * 4) -6 + 5x = (-36 + 8x) Solving -6 + 5x = -36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 5x + -8x = -36 + 8x + -8x Combine like terms: 5x + -8x = -3x -6 + -3x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -3x = -36 + 0 -6 + -3x = -36 Add '6' to each side of the equation. -6 + 6 + -3x = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -36 + 6 -3x = -36 + 6 Combine like terms: -36 + 6 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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