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Simplifying 2[4(2x + -1) + -1(5x + -3)] = 7x + 2 Reorder the terms: 2[4(-1 + 2x) + -1(5x + -3)] = 7x + 2 2[(-1 * 4 + 2x * 4) + -1(5x + -3)] = 7x + 2 2[(-4 + 8x) + -1(5x + -3)] = 7x + 2 Reorder the terms: 2[-4 + 8x + -1(-3 + 5x)] = 7x + 2 2[-4 + 8x + (-3 * -1 + 5x * -1)] = 7x + 2 2[-4 + 8x + (3 + -5x)] = 7x + 2 Reorder the terms: 2[-4 + 3 + 8x + -5x] = 7x + 2 Combine like terms: -4 + 3 = -1 2[-1 + 8x + -5x] = 7x + 2 Combine like terms: 8x + -5x = 3x 2[-1 + 3x] = 7x + 2 [-1 * 2 + 3x * 2] = 7x + 2 [-2 + 6x] = 7x + 2 Reorder the terms: -2 + 6x = 2 + 7x Solving -2 + 6x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 6x + -7x = 2 + 7x + -7x Combine like terms: 6x + -7x = -1x -2 + -1x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -1x = 2 + 0 -2 + -1x = 2 Add '2' to each side of the equation. -2 + 2 + -1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 2 + 2 -1x = 2 + 2 Combine like terms: 2 + 2 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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