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Simplifying -4(x + 2) + -2x + 3 = 7x + -1(5x + -2) Reorder the terms: -4(2 + x) + -2x + 3 = 7x + -1(5x + -2) (2 * -4 + x * -4) + -2x + 3 = 7x + -1(5x + -2) (-8 + -4x) + -2x + 3 = 7x + -1(5x + -2) Reorder the terms: -8 + 3 + -4x + -2x = 7x + -1(5x + -2) Combine like terms: -8 + 3 = -5 -5 + -4x + -2x = 7x + -1(5x + -2) Combine like terms: -4x + -2x = -6x -5 + -6x = 7x + -1(5x + -2) Reorder the terms: -5 + -6x = 7x + -1(-2 + 5x) -5 + -6x = 7x + (-2 * -1 + 5x * -1) -5 + -6x = 7x + (2 + -5x) Reorder the terms: -5 + -6x = 2 + 7x + -5x Combine like terms: 7x + -5x = 2x -5 + -6x = 2 + 2x Solving -5 + -6x = 2 + 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. -5 + -6x + -2x = 2 + 2x + -2x Combine like terms: -6x + -2x = -8x -5 + -8x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -8x = 2 + 0 -5 + -8x = 2 Add '5' to each side of the equation. -5 + 5 + -8x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 2 + 5 -8x = 2 + 5 Combine like terms: 2 + 5 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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