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Simplifying 6 + 2x + -5 = 7x + 15 + -3x Reorder the terms: 6 + -5 + 2x = 7x + 15 + -3x Combine like terms: 6 + -5 = 1 1 + 2x = 7x + 15 + -3x Reorder the terms: 1 + 2x = 15 + 7x + -3x Combine like terms: 7x + -3x = 4x 1 + 2x = 15 + 4x Solving 1 + 2x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 2x + -4x = 15 + 4x + -4x Combine like terms: 2x + -4x = -2x 1 + -2x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -2x = 15 + 0 1 + -2x = 15 Add '-1' to each side of the equation. 1 + -1 + -2x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 15 + -1 -2x = 15 + -1 Combine like terms: 15 + -1 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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