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