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Simplifying 6x + -15 + -7x = 10 + -5x + 3 Reorder the terms: -15 + 6x + -7x = 10 + -5x + 3 Combine like terms: 6x + -7x = -1x -15 + -1x = 10 + -5x + 3 Reorder the terms: -15 + -1x = 10 + 3 + -5x Combine like terms: 10 + 3 = 13 -15 + -1x = 13 + -5x Solving -15 + -1x = 13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -15 + -1x + 5x = 13 + -5x + 5x Combine like terms: -1x + 5x = 4x -15 + 4x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 4x = 13 + 0 -15 + 4x = 13 Add '15' to each side of the equation. -15 + 15 + 4x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 13 + 15 4x = 13 + 15 Combine like terms: 13 + 15 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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