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Simplifying 2x + 7 + -6(x + 1) = 4x + 6 Reorder the terms: 2x + 7 + -6(1 + x) = 4x + 6 2x + 7 + (1 * -6 + x * -6) = 4x + 6 2x + 7 + (-6 + -6x) = 4x + 6 Reorder the terms: 7 + -6 + 2x + -6x = 4x + 6 Combine like terms: 7 + -6 = 1 1 + 2x + -6x = 4x + 6 Combine like terms: 2x + -6x = -4x 1 + -4x = 4x + 6 Reorder the terms: 1 + -4x = 6 + 4x Solving 1 + -4x = 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. 1 + -4x + -4x = 6 + 4x + -4x Combine like terms: -4x + -4x = -8x 1 + -8x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -8x = 6 + 0 1 + -8x = 6 Add '-1' to each side of the equation. 1 + -1 + -8x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 6 + -1 -8x = 6 + -1 Combine like terms: 6 + -1 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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