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Simplifying -5x + -2 = -1x + 7 + 4(2x + -1) Reorder the terms: -2 + -5x = -1x + 7 + 4(2x + -1) Reorder the terms: -2 + -5x = -1x + 7 + 4(-1 + 2x) -2 + -5x = -1x + 7 + (-1 * 4 + 2x * 4) -2 + -5x = -1x + 7 + (-4 + 8x) Reorder the terms: -2 + -5x = 7 + -4 + -1x + 8x Combine like terms: 7 + -4 = 3 -2 + -5x = 3 + -1x + 8x Combine like terms: -1x + 8x = 7x -2 + -5x = 3 + 7x Solving -2 + -5x = 3 + 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 + -5x + -7x = 3 + 7x + -7x Combine like terms: -5x + -7x = -12x -2 + -12x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -12x = 3 + 0 -2 + -12x = 3 Add '2' to each side of the equation. -2 + 2 + -12x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 3 + 2 -12x = 3 + 2 Combine like terms: 3 + 2 = 5 -12x = 5 Divide each side by '-12'. x = -0.4166666667 Simplifying x = -0.4166666667
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