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Simplifying 5z + 2x + -3 = -3x + 10x Reorder the terms: -3 + 2x + 5z = -3x + 10x Combine like terms: -3x + 10x = 7x -3 + 2x + 5z = 7x Solving -3 + 2x + 5z = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 2x + -7x + 5z = 7x + -7x Combine like terms: 2x + -7x = -5x -3 + -5x + 5z = 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -5x + 5z = 0 Add '3' to each side of the equation. -3 + -5x + 3 + 5z = 0 + 3 Reorder the terms: -3 + 3 + -5x + 5z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x + 5z = 0 + 3 -5x + 5z = 0 + 3 Combine like terms: 0 + 3 = 3 -5x + 5z = 3 Add '-5z' to each side of the equation. -5x + 5z + -5z = 3 + -5z Combine like terms: 5z + -5z = 0 -5x + 0 = 3 + -5z -5x = 3 + -5z Divide each side by '-5'. x = -0.6 + z Simplifying x = -0.6 + z
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