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Simplifying 3(5x + -1) + -1(4z + -8) = 130 Reorder the terms: 3(-1 + 5x) + -1(4z + -8) = 130 (-1 * 3 + 5x * 3) + -1(4z + -8) = 130 (-3 + 15x) + -1(4z + -8) = 130 Reorder the terms: -3 + 15x + -1(-8 + 4z) = 130 -3 + 15x + (-8 * -1 + 4z * -1) = 130 -3 + 15x + (8 + -4z) = 130 Reorder the terms: -3 + 8 + 15x + -4z = 130 Combine like terms: -3 + 8 = 5 5 + 15x + -4z = 130 Solving 5 + 15x + -4z = 130 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 15x + -5 + -4z = 130 + -5 Reorder the terms: 5 + -5 + 15x + -4z = 130 + -5 Combine like terms: 5 + -5 = 0 0 + 15x + -4z = 130 + -5 15x + -4z = 130 + -5 Combine like terms: 130 + -5 = 125 15x + -4z = 125 Add '4z' to each side of the equation. 15x + -4z + 4z = 125 + 4z Combine like terms: -4z + 4z = 0 15x + 0 = 125 + 4z 15x = 125 + 4z Divide each side by '15'. x = 8.333333333 + 0.2666666667z Simplifying x = 8.333333333 + 0.2666666667z
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