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Simplifying 3(2x + 5) + -2(3z + 1) = 2 Reorder the terms: 3(5 + 2x) + -2(3z + 1) = 2 (5 * 3 + 2x * 3) + -2(3z + 1) = 2 (15 + 6x) + -2(3z + 1) = 2 Reorder the terms: 15 + 6x + -2(1 + 3z) = 2 15 + 6x + (1 * -2 + 3z * -2) = 2 15 + 6x + (-2 + -6z) = 2 Reorder the terms: 15 + -2 + 6x + -6z = 2 Combine like terms: 15 + -2 = 13 13 + 6x + -6z = 2 Solving 13 + 6x + -6z = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 6x + -13 + -6z = 2 + -13 Reorder the terms: 13 + -13 + 6x + -6z = 2 + -13 Combine like terms: 13 + -13 = 0 0 + 6x + -6z = 2 + -13 6x + -6z = 2 + -13 Combine like terms: 2 + -13 = -11 6x + -6z = -11 Add '6z' to each side of the equation. 6x + -6z + 6z = -11 + 6z Combine like terms: -6z + 6z = 0 6x + 0 = -11 + 6z 6x = -11 + 6z Divide each side by '6'. x = -1.833333333 + z Simplifying x = -1.833333333 + z
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