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Simplifying (5x + -4) + -1(7 + -2x) = 10 + 3x Reorder the terms: (-4 + 5x) + -1(7 + -2x) = 10 + 3x Remove parenthesis around (-4 + 5x) -4 + 5x + -1(7 + -2x) = 10 + 3x -4 + 5x + (7 * -1 + -2x * -1) = 10 + 3x -4 + 5x + (-7 + 2x) = 10 + 3x Reorder the terms: -4 + -7 + 5x + 2x = 10 + 3x Combine like terms: -4 + -7 = -11 -11 + 5x + 2x = 10 + 3x Combine like terms: 5x + 2x = 7x -11 + 7x = 10 + 3x Solving -11 + 7x = 10 + 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. -11 + 7x + -3x = 10 + 3x + -3x Combine like terms: 7x + -3x = 4x -11 + 4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 4x = 10 + 0 -11 + 4x = 10 Add '11' to each side of the equation. -11 + 11 + 4x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 10 + 11 4x = 10 + 11 Combine like terms: 10 + 11 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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