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Simplifying 5x + 7 + 3z = -8 + 3x Reorder the terms: 7 + 5x + 3z = -8 + 3x Solving 7 + 5x + 3z = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 5x + -3x + 3z = -8 + 3x + -3x Combine like terms: 5x + -3x = 2x 7 + 2x + 3z = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 2x + 3z = -8 + 0 7 + 2x + 3z = -8 Add '-7' to each side of the equation. 7 + 2x + -7 + 3z = -8 + -7 Reorder the terms: 7 + -7 + 2x + 3z = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 2x + 3z = -8 + -7 2x + 3z = -8 + -7 Combine like terms: -8 + -7 = -15 2x + 3z = -15 Add '-3z' to each side of the equation. 2x + 3z + -3z = -15 + -3z Combine like terms: 3z + -3z = 0 2x + 0 = -15 + -3z 2x = -15 + -3z Divide each side by '2'. x = -7.5 + -1.5z Simplifying x = -7.5 + -1.5z
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