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Simplifying (5x + -3 + 2x) + -1(4x + 4) + -1(3 + -1x) = 0 Reorder the terms: (-3 + 5x + 2x) + -1(4x + 4) + -1(3 + -1x) = 0 Combine like terms: 5x + 2x = 7x (-3 + 7x) + -1(4x + 4) + -1(3 + -1x) = 0 Remove parenthesis around (-3 + 7x) -3 + 7x + -1(4x + 4) + -1(3 + -1x) = 0 Reorder the terms: -3 + 7x + -1(4 + 4x) + -1(3 + -1x) = 0 -3 + 7x + (4 * -1 + 4x * -1) + -1(3 + -1x) = 0 -3 + 7x + (-4 + -4x) + -1(3 + -1x) = 0 -3 + 7x + -4 + -4x + (3 * -1 + -1x * -1) = 0 -3 + 7x + -4 + -4x + (-3 + 1x) = 0 Reorder the terms: -3 + -4 + -3 + 7x + -4x + 1x = 0 Combine like terms: -3 + -4 = -7 -7 + -3 + 7x + -4x + 1x = 0 Combine like terms: -7 + -3 = -10 -10 + 7x + -4x + 1x = 0 Combine like terms: 7x + -4x = 3x -10 + 3x + 1x = 0 Combine like terms: 3x + 1x = 4x -10 + 4x = 0 Solving -10 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 4x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 0 + 10 4x = 0 + 10 Combine like terms: 0 + 10 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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