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Simplifying 2(3 + -1x) + -1(2x + 2) = 4 + 3(x + -7) (3 * 2 + -1x * 2) + -1(2x + 2) = 4 + 3(x + -7) (6 + -2x) + -1(2x + 2) = 4 + 3(x + -7) Reorder the terms: 6 + -2x + -1(2 + 2x) = 4 + 3(x + -7) 6 + -2x + (2 * -1 + 2x * -1) = 4 + 3(x + -7) 6 + -2x + (-2 + -2x) = 4 + 3(x + -7) Reorder the terms: 6 + -2 + -2x + -2x = 4 + 3(x + -7) Combine like terms: 6 + -2 = 4 4 + -2x + -2x = 4 + 3(x + -7) Combine like terms: -2x + -2x = -4x 4 + -4x = 4 + 3(x + -7) Reorder the terms: 4 + -4x = 4 + 3(-7 + x) 4 + -4x = 4 + (-7 * 3 + x * 3) 4 + -4x = 4 + (-21 + 3x) Combine like terms: 4 + -21 = -17 4 + -4x = -17 + 3x Solving 4 + -4x = -17 + 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 + -4x + -3x = -17 + 3x + -3x Combine like terms: -4x + -3x = -7x 4 + -7x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -7x = -17 + 0 4 + -7x = -17 Add '-4' to each side of the equation. 4 + -4 + -7x = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -17 + -4 -7x = -17 + -4 Combine like terms: -17 + -4 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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