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