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Simplifying 3(x + -5) + 2(6 + -4x) = 2x + 9 Reorder the terms: 3(-5 + x) + 2(6 + -4x) = 2x + 9 (-5 * 3 + x * 3) + 2(6 + -4x) = 2x + 9 (-15 + 3x) + 2(6 + -4x) = 2x + 9 -15 + 3x + (6 * 2 + -4x * 2) = 2x + 9 -15 + 3x + (12 + -8x) = 2x + 9 Reorder the terms: -15 + 12 + 3x + -8x = 2x + 9 Combine like terms: -15 + 12 = -3 -3 + 3x + -8x = 2x + 9 Combine like terms: 3x + -8x = -5x -3 + -5x = 2x + 9 Reorder the terms: -3 + -5x = 9 + 2x Solving -3 + -5x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + -5x + -2x = 9 + 2x + -2x Combine like terms: -5x + -2x = -7x -3 + -7x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -7x = 9 + 0 -3 + -7x = 9 Add '3' to each side of the equation. -3 + 3 + -7x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 9 + 3 -7x = 9 + 3 Combine like terms: 9 + 3 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714
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