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Simplifying 6x + 7 = x + 6 + -3x + 6x Reorder the terms: 7 + 6x = x + 6 + -3x + 6x Reorder the terms: 7 + 6x = 6 + x + -3x + 6x Combine like terms: x + -3x = -2x 7 + 6x = 6 + -2x + 6x Combine like terms: -2x + 6x = 4x 7 + 6x = 6 + 4x Solving 7 + 6x = 6 + 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. 7 + 6x + -4x = 6 + 4x + -4x Combine like terms: 6x + -4x = 2x 7 + 2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 2x = 6 + 0 7 + 2x = 6 Add '-7' to each side of the equation. 7 + -7 + 2x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 6 + -7 2x = 6 + -7 Combine like terms: 6 + -7 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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