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