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Simplifying 2z + 5(x + -3) = 2(x + -5) Reorder the terms: 2z + 5(-3 + x) = 2(x + -5) 2z + (-3 * 5 + x * 5) = 2(x + -5) 2z + (-15 + 5x) = 2(x + -5) Reorder the terms: -15 + 5x + 2z = 2(x + -5) Reorder the terms: -15 + 5x + 2z = 2(-5 + x) -15 + 5x + 2z = (-5 * 2 + x * 2) -15 + 5x + 2z = (-10 + 2x) Solving -15 + 5x + 2z = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 5x + -2x + 2z = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x -15 + 3x + 2z = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 3x + 2z = -10 + 0 -15 + 3x + 2z = -10 Add '15' to each side of the equation. -15 + 3x + 15 + 2z = -10 + 15 Reorder the terms: -15 + 15 + 3x + 2z = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 3x + 2z = -10 + 15 3x + 2z = -10 + 15 Combine like terms: -10 + 15 = 5 3x + 2z = 5 Add '-2z' to each side of the equation. 3x + 2z + -2z = 5 + -2z Combine like terms: 2z + -2z = 0 3x + 0 = 5 + -2z 3x = 5 + -2z Divide each side by '3'. x = 1.666666667 + -0.6666666667z Simplifying x = 1.666666667 + -0.6666666667z
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