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Simplifying 4x + 3 + 5x + -10 = 7x + 15 Reorder the terms: 3 + -10 + 4x + 5x = 7x + 15 Combine like terms: 3 + -10 = -7 -7 + 4x + 5x = 7x + 15 Combine like terms: 4x + 5x = 9x -7 + 9x = 7x + 15 Reorder the terms: -7 + 9x = 15 + 7x Solving -7 + 9x = 15 + 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. -7 + 9x + -7x = 15 + 7x + -7x Combine like terms: 9x + -7x = 2x -7 + 2x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + 2x = 15 + 0 -7 + 2x = 15 Add '7' to each side of the equation. -7 + 7 + 2x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 15 + 7 2x = 15 + 7 Combine like terms: 15 + 7 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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