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