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Simplifying 5(3x + -4) = 2(-6 + 3x) Reorder the terms: 5(-4 + 3x) = 2(-6 + 3x) (-4 * 5 + 3x * 5) = 2(-6 + 3x) (-20 + 15x) = 2(-6 + 3x) -20 + 15x = (-6 * 2 + 3x * 2) -20 + 15x = (-12 + 6x) Solving -20 + 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. -20 + 15x + -6x = -12 + 6x + -6x Combine like terms: 15x + -6x = 9x -20 + 9x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 9x = -12 + 0 -20 + 9x = -12 Add '20' to each side of the equation. -20 + 20 + 9x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = -12 + 20 9x = -12 + 20 Combine like terms: -12 + 20 = 8 9x = 8 Divide each side by '9'. x = 0.8888888889 Simplifying x = 0.8888888889
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