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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 = 15x -11 + 15x = 2(1 + -2x) + 3 -11 + 15x = (1 * 2 + -2x * 2) + 3 -11 + 15x = (2 + -4x) + 3 Reorder the terms: -11 + 15x = 2 + 3 + -4x Combine like terms: 2 + 3 = 5 -11 + 15x = 5 + -4x Solving -11 + 15x = 5 + -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 + 15x + 4x = 5 + -4x + 4x Combine like terms: 15x + 4x = 19x -11 + 19x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 19x = 5 + 0 -11 + 19x = 5 Add '11' to each side of the equation. -11 + 11 + 19x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 19x = 5 + 11 19x = 5 + 11 Combine like terms: 5 + 11 = 16 19x = 16 Divide each side by '19'. x = 0.8421052632 Simplifying x = 0.8421052632
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