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Simplifying 6(x + -5) = 3(4x + -5) Reorder the terms: 6(-5 + x) = 3(4x + -5) (-5 * 6 + x * 6) = 3(4x + -5) (-30 + 6x) = 3(4x + -5) Reorder the terms: -30 + 6x = 3(-5 + 4x) -30 + 6x = (-5 * 3 + 4x * 3) -30 + 6x = (-15 + 12x) Solving -30 + 6x = -15 + 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. -30 + 6x + -12x = -15 + 12x + -12x Combine like terms: 6x + -12x = -6x -30 + -6x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + -6x = -15 + 0 -30 + -6x = -15 Add '30' to each side of the equation. -30 + 30 + -6x = -15 + 30 Combine like terms: -30 + 30 = 0 0 + -6x = -15 + 30 -6x = -15 + 30 Combine like terms: -15 + 30 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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