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Simplifying 6 + -3(x + 1) = -4(x + 6) + 2 Reorder the terms: 6 + -3(1 + x) = -4(x + 6) + 2 6 + (1 * -3 + x * -3) = -4(x + 6) + 2 6 + (-3 + -3x) = -4(x + 6) + 2 Combine like terms: 6 + -3 = 3 3 + -3x = -4(x + 6) + 2 Reorder the terms: 3 + -3x = -4(6 + x) + 2 3 + -3x = (6 * -4 + x * -4) + 2 3 + -3x = (-24 + -4x) + 2 Reorder the terms: 3 + -3x = -24 + 2 + -4x Combine like terms: -24 + 2 = -22 3 + -3x = -22 + -4x Solving 3 + -3x = -22 + -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. 3 + -3x + 4x = -22 + -4x + 4x Combine like terms: -3x + 4x = 1x 3 + 1x = -22 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 1x = -22 + 0 3 + 1x = -22 Add '-3' to each side of the equation. 3 + -3 + 1x = -22 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -22 + -3 1x = -22 + -3 Combine like terms: -22 + -3 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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