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Simplifying -1(z + 8) + (3x + 1) = -2(z + 1) Reorder the terms: -1(8 + z) + (3x + 1) = -2(z + 1) (8 * -1 + z * -1) + (3x + 1) = -2(z + 1) (-8 + -1z) + (3x + 1) = -2(z + 1) Reorder the terms: -8 + -1z + (1 + 3x) = -2(z + 1) Remove parenthesis around (1 + 3x) -8 + -1z + 1 + 3x = -2(z + 1) Reorder the terms: -8 + 1 + 3x + -1z = -2(z + 1) Combine like terms: -8 + 1 = -7 -7 + 3x + -1z = -2(z + 1) Reorder the terms: -7 + 3x + -1z = -2(1 + z) -7 + 3x + -1z = (1 * -2 + z * -2) -7 + 3x + -1z = (-2 + -2z) Solving -7 + 3x + -1z = -2 + -2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 3x + 7 + -1z = -2 + 7 + -2z Reorder the terms: -7 + 7 + 3x + -1z = -2 + 7 + -2z Combine like terms: -7 + 7 = 0 0 + 3x + -1z = -2 + 7 + -2z 3x + -1z = -2 + 7 + -2z Combine like terms: -2 + 7 = 5 3x + -1z = 5 + -2z Add 'z' to each side of the equation. 3x + -1z + z = 5 + -2z + z Combine like terms: -1z + z = 0 3x + 0 = 5 + -2z + z 3x = 5 + -2z + z Combine like terms: -2z + z = -1z 3x = 5 + -1z Divide each side by '3'. x = 1.666666667 + -0.3333333333z Simplifying x = 1.666666667 + -0.3333333333z
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