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Simplifying 2x + 7 + -5(x + 1) = -1(-4x + -7) Reorder the terms: 2x + 7 + -5(1 + x) = -1(-4x + -7) 2x + 7 + (1 * -5 + x * -5) = -1(-4x + -7) 2x + 7 + (-5 + -5x) = -1(-4x + -7) Reorder the terms: 7 + -5 + 2x + -5x = -1(-4x + -7) Combine like terms: 7 + -5 = 2 2 + 2x + -5x = -1(-4x + -7) Combine like terms: 2x + -5x = -3x 2 + -3x = -1(-4x + -7) Reorder the terms: 2 + -3x = -1(-7 + -4x) 2 + -3x = (-7 * -1 + -4x * -1) 2 + -3x = (7 + 4x) Solving 2 + -3x = 7 + 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. 2 + -3x + -4x = 7 + 4x + -4x Combine like terms: -3x + -4x = -7x 2 + -7x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -7x = 7 + 0 2 + -7x = 7 Add '-2' to each side of the equation. 2 + -2 + -7x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 7 + -2 -7x = 7 + -2 Combine like terms: 7 + -2 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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