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Simplifying 4(6z + -1) + -5(x + 3) = 16(z + 1) Reorder the terms: 4(-1 + 6z) + -5(x + 3) = 16(z + 1) (-1 * 4 + 6z * 4) + -5(x + 3) = 16(z + 1) (-4 + 24z) + -5(x + 3) = 16(z + 1) Reorder the terms: -4 + 24z + -5(3 + x) = 16(z + 1) -4 + 24z + (3 * -5 + x * -5) = 16(z + 1) -4 + 24z + (-15 + -5x) = 16(z + 1) Reorder the terms: -4 + -15 + -5x + 24z = 16(z + 1) Combine like terms: -4 + -15 = -19 -19 + -5x + 24z = 16(z + 1) Reorder the terms: -19 + -5x + 24z = 16(1 + z) -19 + -5x + 24z = (1 * 16 + z * 16) -19 + -5x + 24z = (16 + 16z) Solving -19 + -5x + 24z = 16 + 16z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + -5x + 19 + 24z = 16 + 19 + 16z Reorder the terms: -19 + 19 + -5x + 24z = 16 + 19 + 16z Combine like terms: -19 + 19 = 0 0 + -5x + 24z = 16 + 19 + 16z -5x + 24z = 16 + 19 + 16z Combine like terms: 16 + 19 = 35 -5x + 24z = 35 + 16z Add '-24z' to each side of the equation. -5x + 24z + -24z = 35 + 16z + -24z Combine like terms: 24z + -24z = 0 -5x + 0 = 35 + 16z + -24z -5x = 35 + 16z + -24z Combine like terms: 16z + -24z = -8z -5x = 35 + -8z Divide each side by '-5'. x = -7 + 1.6z Simplifying x = -7 + 1.6z
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