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Simplifying 2(x + -3) + -7(2 + -1x) = x + 4 Reorder the terms: 2(-3 + x) + -7(2 + -1x) = x + 4 (-3 * 2 + x * 2) + -7(2 + -1x) = x + 4 (-6 + 2x) + -7(2 + -1x) = x + 4 -6 + 2x + (2 * -7 + -1x * -7) = x + 4 -6 + 2x + (-14 + 7x) = x + 4 Reorder the terms: -6 + -14 + 2x + 7x = x + 4 Combine like terms: -6 + -14 = -20 -20 + 2x + 7x = x + 4 Combine like terms: 2x + 7x = 9x -20 + 9x = x + 4 Reorder the terms: -20 + 9x = 4 + x Solving -20 + 9x = 4 + 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. -20 + 9x + -1x = 4 + x + -1x Combine like terms: 9x + -1x = 8x -20 + 8x = 4 + x + -1x Combine like terms: x + -1x = 0 -20 + 8x = 4 + 0 -20 + 8x = 4 Add '20' to each side of the equation. -20 + 20 + 8x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 4 + 20 8x = 4 + 20 Combine like terms: 4 + 20 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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