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Simplifying 7x + 1 + -2(-4x + -3) = 5(x + -1) Reorder the terms: 7x + 1 + -2(-3 + -4x) = 5(x + -1) 7x + 1 + (-3 * -2 + -4x * -2) = 5(x + -1) 7x + 1 + (6 + 8x) = 5(x + -1) Reorder the terms: 1 + 6 + 7x + 8x = 5(x + -1) Combine like terms: 1 + 6 = 7 7 + 7x + 8x = 5(x + -1) Combine like terms: 7x + 8x = 15x 7 + 15x = 5(x + -1) Reorder the terms: 7 + 15x = 5(-1 + x) 7 + 15x = (-1 * 5 + x * 5) 7 + 15x = (-5 + 5x) Solving 7 + 15x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 15x + -5x = -5 + 5x + -5x Combine like terms: 15x + -5x = 10x 7 + 10x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 10x = -5 + 0 7 + 10x = -5 Add '-7' to each side of the equation. 7 + -7 + 10x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = -5 + -7 10x = -5 + -7 Combine like terms: -5 + -7 = -12 10x = -12 Divide each side by '10'. x = -1.2 Simplifying x = -1.2
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