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Simplifying 3 + 5x + -4 + -7x = -1(x + 4) + (3x + -2) Reorder the terms: 3 + -4 + 5x + -7x = -1(x + 4) + (3x + -2) Combine like terms: 3 + -4 = -1 -1 + 5x + -7x = -1(x + 4) + (3x + -2) Combine like terms: 5x + -7x = -2x -1 + -2x = -1(x + 4) + (3x + -2) Reorder the terms: -1 + -2x = -1(4 + x) + (3x + -2) -1 + -2x = (4 * -1 + x * -1) + (3x + -2) -1 + -2x = (-4 + -1x) + (3x + -2) Reorder the terms: -1 + -2x = -4 + -1x + (-2 + 3x) Remove parenthesis around (-2 + 3x) -1 + -2x = -4 + -1x + -2 + 3x Reorder the terms: -1 + -2x = -4 + -2 + -1x + 3x Combine like terms: -4 + -2 = -6 -1 + -2x = -6 + -1x + 3x Combine like terms: -1x + 3x = 2x -1 + -2x = -6 + 2x Solving -1 + -2x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + -2x + -2x = -6 + 2x + -2x Combine like terms: -2x + -2x = -4x -1 + -4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -4x = -6 + 0 -1 + -4x = -6 Add '1' to each side of the equation. -1 + 1 + -4x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -6 + 1 -4x = -6 + 1 Combine like terms: -6 + 1 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25
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