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Simplifying 6.5(z + -2x + -4) = -2.5(3z + 3) + -6.5 Reorder the terms: 6.5(-4 + -2x + z) = -2.5(3z + 3) + -6.5 (-4 * 6.5 + -2x * 6.5 + z * 6.5) = -2.5(3z + 3) + -6.5 (-26 + -13x + 6.5z) = -2.5(3z + 3) + -6.5 Reorder the terms: -26 + -13x + 6.5z = -2.5(3 + 3z) + -6.5 -26 + -13x + 6.5z = (3 * -2.5 + 3z * -2.5) + -6.5 -26 + -13x + 6.5z = (-7.5 + -7.5z) + -6.5 Reorder the terms: -26 + -13x + 6.5z = -7.5 + -6.5 + -7.5z Combine like terms: -7.5 + -6.5 = -14 -26 + -13x + 6.5z = -14 + -7.5z Solving -26 + -13x + 6.5z = -14 + -7.5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + -13x + 26 + 6.5z = -14 + 26 + -7.5z Reorder the terms: -26 + 26 + -13x + 6.5z = -14 + 26 + -7.5z Combine like terms: -26 + 26 = 0 0 + -13x + 6.5z = -14 + 26 + -7.5z -13x + 6.5z = -14 + 26 + -7.5z Combine like terms: -14 + 26 = 12 -13x + 6.5z = 12 + -7.5z Add '-6.5z' to each side of the equation. -13x + 6.5z + -6.5z = 12 + -7.5z + -6.5z Combine like terms: 6.5z + -6.5z = 0.0 -13x + 0.0 = 12 + -7.5z + -6.5z -13x = 12 + -7.5z + -6.5z Combine like terms: -7.5z + -6.5z = -14z -13x = 12 + -14z Divide each side by '-13'. x = -0.9230769231 + 1.076923077z Simplifying x = -0.9230769231 + 1.076923077z
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