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Simplifying -2x + 4 + 5(x + 1) = -1(4x + -4) Reorder the terms: -2x + 4 + 5(1 + x) = -1(4x + -4) -2x + 4 + (1 * 5 + x * 5) = -1(4x + -4) -2x + 4 + (5 + 5x) = -1(4x + -4) Reorder the terms: 4 + 5 + -2x + 5x = -1(4x + -4) Combine like terms: 4 + 5 = 9 9 + -2x + 5x = -1(4x + -4) Combine like terms: -2x + 5x = 3x 9 + 3x = -1(4x + -4) Reorder the terms: 9 + 3x = -1(-4 + 4x) 9 + 3x = (-4 * -1 + 4x * -1) 9 + 3x = (4 + -4x) Solving 9 + 3x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + 3x + 4x = 4 + -4x + 4x Combine like terms: 3x + 4x = 7x 9 + 7x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 7x = 4 + 0 9 + 7x = 4 Add '-9' to each side of the equation. 9 + -9 + 7x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 4 + -9 7x = 4 + -9 Combine like terms: 4 + -9 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143
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