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Simplifying 5(x + -1) + -4 = 3x + 4(-2 + x) Reorder the terms: 5(-1 + x) + -4 = 3x + 4(-2 + x) (-1 * 5 + x * 5) + -4 = 3x + 4(-2 + x) (-5 + 5x) + -4 = 3x + 4(-2 + x) Reorder the terms: -5 + -4 + 5x = 3x + 4(-2 + x) Combine like terms: -5 + -4 = -9 -9 + 5x = 3x + 4(-2 + x) -9 + 5x = 3x + (-2 * 4 + x * 4) -9 + 5x = 3x + (-8 + 4x) Reorder the terms: -9 + 5x = -8 + 3x + 4x Combine like terms: 3x + 4x = 7x -9 + 5x = -8 + 7x Solving -9 + 5x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 5x + -7x = -8 + 7x + -7x Combine like terms: 5x + -7x = -2x -9 + -2x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -2x = -8 + 0 -9 + -2x = -8 Add '9' to each side of the equation. -9 + 9 + -2x = -8 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -8 + 9 -2x = -8 + 9 Combine like terms: -8 + 9 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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