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Simplifying 3(x + -5) = 6(2x + 4) Reorder the terms: 3(-5 + x) = 6(2x + 4) (-5 * 3 + x * 3) = 6(2x + 4) (-15 + 3x) = 6(2x + 4) Reorder the terms: -15 + 3x = 6(4 + 2x) -15 + 3x = (4 * 6 + 2x * 6) -15 + 3x = (24 + 12x) Solving -15 + 3x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 3x + -12x = 24 + 12x + -12x Combine like terms: 3x + -12x = -9x -15 + -9x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -9x = 24 + 0 -15 + -9x = 24 Add '15' to each side of the equation. -15 + 15 + -9x = 24 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = 24 + 15 -9x = 24 + 15 Combine like terms: 24 + 15 = 39 -9x = 39 Divide each side by '-9'. x = -4.333333333 Simplifying x = -4.333333333
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