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Simplifying 5x + -1(7 + -2x) = 4(-1x + 5) + -2(3x + -1) + x 5x + (7 * -1 + -2x * -1) = 4(-1x + 5) + -2(3x + -1) + x 5x + (-7 + 2x) = 4(-1x + 5) + -2(3x + -1) + x Reorder the terms: -7 + 5x + 2x = 4(-1x + 5) + -2(3x + -1) + x Combine like terms: 5x + 2x = 7x -7 + 7x = 4(-1x + 5) + -2(3x + -1) + x Reorder the terms: -7 + 7x = 4(5 + -1x) + -2(3x + -1) + x -7 + 7x = (5 * 4 + -1x * 4) + -2(3x + -1) + x -7 + 7x = (20 + -4x) + -2(3x + -1) + x Reorder the terms: -7 + 7x = 20 + -4x + -2(-1 + 3x) + x -7 + 7x = 20 + -4x + (-1 * -2 + 3x * -2) + x -7 + 7x = 20 + -4x + (2 + -6x) + x Reorder the terms: -7 + 7x = 20 + 2 + -4x + -6x + x Combine like terms: 20 + 2 = 22 -7 + 7x = 22 + -4x + -6x + x Combine like terms: -4x + -6x = -10x -7 + 7x = 22 + -10x + x Combine like terms: -10x + x = -9x -7 + 7x = 22 + -9x Solving -7 + 7x = 22 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -7 + 7x + 9x = 22 + -9x + 9x Combine like terms: 7x + 9x = 16x -7 + 16x = 22 + -9x + 9x Combine like terms: -9x + 9x = 0 -7 + 16x = 22 + 0 -7 + 16x = 22 Add '7' to each side of the equation. -7 + 7 + 16x = 22 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 22 + 7 16x = 22 + 7 Combine like terms: 22 + 7 = 29 16x = 29 Divide each side by '16'. x = 1.8125 Simplifying x = 1.8125
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