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Simplifying 5x + 30 + 8 = 7x + 14 + -6 Reorder the terms: 30 + 8 + 5x = 7x + 14 + -6 Combine like terms: 30 + 8 = 38 38 + 5x = 7x + 14 + -6 Reorder the terms: 38 + 5x = 14 + -6 + 7x Combine like terms: 14 + -6 = 8 38 + 5x = 8 + 7x Solving 38 + 5x = 8 + 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. 38 + 5x + -7x = 8 + 7x + -7x Combine like terms: 5x + -7x = -2x 38 + -2x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 38 + -2x = 8 + 0 38 + -2x = 8 Add '-38' to each side of the equation. 38 + -38 + -2x = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = 8 + -38 -2x = 8 + -38 Combine like terms: 8 + -38 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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