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Simplifying 3(2x + -5) = 6(3x + -2) Reorder the terms: 3(-5 + 2x) = 6(3x + -2) (-5 * 3 + 2x * 3) = 6(3x + -2) (-15 + 6x) = 6(3x + -2) Reorder the terms: -15 + 6x = 6(-2 + 3x) -15 + 6x = (-2 * 6 + 3x * 6) -15 + 6x = (-12 + 18x) Solving -15 + 6x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -15 + 6x + -18x = -12 + 18x + -18x Combine like terms: 6x + -18x = -12x -15 + -12x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 -15 + -12x = -12 + 0 -15 + -12x = -12 Add '15' to each side of the equation. -15 + 15 + -12x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = -12 + 15 -12x = -12 + 15 Combine like terms: -12 + 15 = 3 -12x = 3 Divide each side by '-12'. x = -0.25 Simplifying x = -0.25
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