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Simplifying 5(2x + -1) + -2(z + 9) = 3(z + 1) Reorder the terms: 5(-1 + 2x) + -2(z + 9) = 3(z + 1) (-1 * 5 + 2x * 5) + -2(z + 9) = 3(z + 1) (-5 + 10x) + -2(z + 9) = 3(z + 1) Reorder the terms: -5 + 10x + -2(9 + z) = 3(z + 1) -5 + 10x + (9 * -2 + z * -2) = 3(z + 1) -5 + 10x + (-18 + -2z) = 3(z + 1) Reorder the terms: -5 + -18 + 10x + -2z = 3(z + 1) Combine like terms: -5 + -18 = -23 -23 + 10x + -2z = 3(z + 1) Reorder the terms: -23 + 10x + -2z = 3(1 + z) -23 + 10x + -2z = (1 * 3 + z * 3) -23 + 10x + -2z = (3 + 3z) Solving -23 + 10x + -2z = 3 + 3z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 10x + 23 + -2z = 3 + 23 + 3z Reorder the terms: -23 + 23 + 10x + -2z = 3 + 23 + 3z Combine like terms: -23 + 23 = 0 0 + 10x + -2z = 3 + 23 + 3z 10x + -2z = 3 + 23 + 3z Combine like terms: 3 + 23 = 26 10x + -2z = 26 + 3z Add '2z' to each side of the equation. 10x + -2z + 2z = 26 + 3z + 2z Combine like terms: -2z + 2z = 0 10x + 0 = 26 + 3z + 2z 10x = 26 + 3z + 2z Combine like terms: 3z + 2z = 5z 10x = 26 + 5z Divide each side by '10'. x = 2.6 + 0.5z Simplifying x = 2.6 + 0.5z
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