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Simplifying (5 + -4x) + -1(3 + 2x) = 7 + -1x Remove parenthesis around (5 + -4x) 5 + -4x + -1(3 + 2x) = 7 + -1x 5 + -4x + (3 * -1 + 2x * -1) = 7 + -1x 5 + -4x + (-3 + -2x) = 7 + -1x Reorder the terms: 5 + -3 + -4x + -2x = 7 + -1x Combine like terms: 5 + -3 = 2 2 + -4x + -2x = 7 + -1x Combine like terms: -4x + -2x = -6x 2 + -6x = 7 + -1x Solving 2 + -6x = 7 + -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 + -6x + x = 7 + -1x + x Combine like terms: -6x + x = -5x 2 + -5x = 7 + -1x + x Combine like terms: -1x + x = 0 2 + -5x = 7 + 0 2 + -5x = 7 Add '-2' to each side of the equation. 2 + -2 + -5x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 7 + -2 -5x = 7 + -2 Combine like terms: 7 + -2 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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