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Simplifying 5x + -1(3x + -7) = 2(2 + -1x) Reorder the terms: 5x + -1(-7 + 3x) = 2(2 + -1x) 5x + (-7 * -1 + 3x * -1) = 2(2 + -1x) 5x + (7 + -3x) = 2(2 + -1x) Reorder the terms: 7 + 5x + -3x = 2(2 + -1x) Combine like terms: 5x + -3x = 2x 7 + 2x = 2(2 + -1x) 7 + 2x = (2 * 2 + -1x * 2) 7 + 2x = (4 + -2x) Solving 7 + 2x = 4 + -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. 7 + 2x + 2x = 4 + -2x + 2x Combine like terms: 2x + 2x = 4x 7 + 4x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 4x = 4 + 0 7 + 4x = 4 Add '-7' to each side of the equation. 7 + -7 + 4x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 4 + -7 4x = 4 + -7 Combine like terms: 4 + -7 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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