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Simplifying 3(5x + -2) = 2(3x + -6) Reorder the terms: 3(-2 + 5x) = 2(3x + -6) (-2 * 3 + 5x * 3) = 2(3x + -6) (-6 + 15x) = 2(3x + -6) Reorder the terms: -6 + 15x = 2(-6 + 3x) -6 + 15x = (-6 * 2 + 3x * 2) -6 + 15x = (-12 + 6x) Solving -6 + 15x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 15x + -6x = -12 + 6x + -6x Combine like terms: 15x + -6x = 9x -6 + 9x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 9x = -12 + 0 -6 + 9x = -12 Add '6' to each side of the equation. -6 + 6 + 9x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -12 + 6 9x = -12 + 6 Combine like terms: -12 + 6 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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