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Simplifying 6 + -1(2x + 2) = 3(x + -7) Reorder the terms: 6 + -1(2 + 2x) = 3(x + -7) 6 + (2 * -1 + 2x * -1) = 3(x + -7) 6 + (-2 + -2x) = 3(x + -7) Combine like terms: 6 + -2 = 4 4 + -2x = 3(x + -7) Reorder the terms: 4 + -2x = 3(-7 + x) 4 + -2x = (-7 * 3 + x * 3) 4 + -2x = (-21 + 3x) Solving 4 + -2x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -2x + -3x = -21 + 3x + -3x Combine like terms: -2x + -3x = -5x 4 + -5x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -5x = -21 + 0 4 + -5x = -21 Add '-4' to each side of the equation. 4 + -4 + -5x = -21 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -21 + -4 -5x = -21 + -4 Combine like terms: -21 + -4 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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