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Simplifying 3(2x + -5) = 6(5x + -2) Reorder the terms: 3(-5 + 2x) = 6(5x + -2) (-5 * 3 + 2x * 3) = 6(5x + -2) (-15 + 6x) = 6(5x + -2) Reorder the terms: -15 + 6x = 6(-2 + 5x) -15 + 6x = (-2 * 6 + 5x * 6) -15 + 6x = (-12 + 30x) Solving -15 + 6x = -12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -15 + 6x + -30x = -12 + 30x + -30x Combine like terms: 6x + -30x = -24x -15 + -24x = -12 + 30x + -30x Combine like terms: 30x + -30x = 0 -15 + -24x = -12 + 0 -15 + -24x = -12 Add '15' to each side of the equation. -15 + 15 + -24x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + -24x = -12 + 15 -24x = -12 + 15 Combine like terms: -12 + 15 = 3 -24x = 3 Divide each side by '-24'. x = -0.125 Simplifying x = -0.125
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