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Simplifying 7x + -4(2x + -1) + 7 = -2(1 + -2x) + 3 Reorder the terms: 7x + -4(-1 + 2x) + 7 = -2(1 + -2x) + 3 7x + (-1 * -4 + 2x * -4) + 7 = -2(1 + -2x) + 3 7x + (4 + -8x) + 7 = -2(1 + -2x) + 3 Reorder the terms: 4 + 7 + 7x + -8x = -2(1 + -2x) + 3 Combine like terms: 4 + 7 = 11 11 + 7x + -8x = -2(1 + -2x) + 3 Combine like terms: 7x + -8x = -1x 11 + -1x = -2(1 + -2x) + 3 11 + -1x = (1 * -2 + -2x * -2) + 3 11 + -1x = (-2 + 4x) + 3 Reorder the terms: 11 + -1x = -2 + 3 + 4x Combine like terms: -2 + 3 = 1 11 + -1x = 1 + 4x Solving 11 + -1x = 1 + 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. 11 + -1x + -4x = 1 + 4x + -4x Combine like terms: -1x + -4x = -5x 11 + -5x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -5x = 1 + 0 11 + -5x = 1 Add '-11' to each side of the equation. 11 + -11 + -5x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 1 + -11 -5x = 1 + -11 Combine like terms: 1 + -11 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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