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Simplifying (4x + -3) + -1(2x + 7) = 5 + -1x Reorder the terms: (-3 + 4x) + -1(2x + 7) = 5 + -1x Remove parenthesis around (-3 + 4x) -3 + 4x + -1(2x + 7) = 5 + -1x Reorder the terms: -3 + 4x + -1(7 + 2x) = 5 + -1x -3 + 4x + (7 * -1 + 2x * -1) = 5 + -1x -3 + 4x + (-7 + -2x) = 5 + -1x Reorder the terms: -3 + -7 + 4x + -2x = 5 + -1x Combine like terms: -3 + -7 = -10 -10 + 4x + -2x = 5 + -1x Combine like terms: 4x + -2x = 2x -10 + 2x = 5 + -1x Solving -10 + 2x = 5 + -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. -10 + 2x + x = 5 + -1x + x Combine like terms: 2x + x = 3x -10 + 3x = 5 + -1x + x Combine like terms: -1x + x = 0 -10 + 3x = 5 + 0 -10 + 3x = 5 Add '10' to each side of the equation. -10 + 10 + 3x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 5 + 10 3x = 5 + 10 Combine like terms: 5 + 10 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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