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Simplifying 5(3x + -2) = 3(z + 3) + 3 Reorder the terms: 5(-2 + 3x) = 3(z + 3) + 3 (-2 * 5 + 3x * 5) = 3(z + 3) + 3 (-10 + 15x) = 3(z + 3) + 3 Reorder the terms: -10 + 15x = 3(3 + z) + 3 -10 + 15x = (3 * 3 + z * 3) + 3 -10 + 15x = (9 + 3z) + 3 Reorder the terms: -10 + 15x = 9 + 3 + 3z Combine like terms: 9 + 3 = 12 -10 + 15x = 12 + 3z Solving -10 + 15x = 12 + 3z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 15x = 12 + 10 + 3z Combine like terms: -10 + 10 = 0 0 + 15x = 12 + 10 + 3z 15x = 12 + 10 + 3z Combine like terms: 12 + 10 = 22 15x = 22 + 3z Divide each side by '15'. x = 1.466666667 + 0.2z Simplifying x = 1.466666667 + 0.2z
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