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Simplifying 3x + 5 + -5x + 1 = 6x + 7 Reorder the terms: 5 + 1 + 3x + -5x = 6x + 7 Combine like terms: 5 + 1 = 6 6 + 3x + -5x = 6x + 7 Combine like terms: 3x + -5x = -2x 6 + -2x = 6x + 7 Reorder the terms: 6 + -2x = 7 + 6x Solving 6 + -2x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -2x + -6x = 7 + 6x + -6x Combine like terms: -2x + -6x = -8x 6 + -8x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -8x = 7 + 0 6 + -8x = 7 Add '-6' to each side of the equation. 6 + -6 + -8x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 7 + -6 -8x = 7 + -6 Combine like terms: 7 + -6 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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