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Simplifying 5x + 1 + -2(-3x + -5) = 7(x + -1) Reorder the terms: 5x + 1 + -2(-5 + -3x) = 7(x + -1) 5x + 1 + (-5 * -2 + -3x * -2) = 7(x + -1) 5x + 1 + (10 + 6x) = 7(x + -1) Reorder the terms: 1 + 10 + 5x + 6x = 7(x + -1) Combine like terms: 1 + 10 = 11 11 + 5x + 6x = 7(x + -1) Combine like terms: 5x + 6x = 11x 11 + 11x = 7(x + -1) Reorder the terms: 11 + 11x = 7(-1 + x) 11 + 11x = (-1 * 7 + x * 7) 11 + 11x = (-7 + 7x) Solving 11 + 11x = -7 + 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. 11 + 11x + -7x = -7 + 7x + -7x Combine like terms: 11x + -7x = 4x 11 + 4x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + 4x = -7 + 0 11 + 4x = -7 Add '-11' to each side of the equation. 11 + -11 + 4x = -7 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = -7 + -11 4x = -7 + -11 Combine like terms: -7 + -11 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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