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Simplifying 5 + -3(4x + -2) = 8 + -1(7x + 1) Reorder the terms: 5 + -3(-2 + 4x) = 8 + -1(7x + 1) 5 + (-2 * -3 + 4x * -3) = 8 + -1(7x + 1) 5 + (6 + -12x) = 8 + -1(7x + 1) Combine like terms: 5 + 6 = 11 11 + -12x = 8 + -1(7x + 1) Reorder the terms: 11 + -12x = 8 + -1(1 + 7x) 11 + -12x = 8 + (1 * -1 + 7x * -1) 11 + -12x = 8 + (-1 + -7x) Combine like terms: 8 + -1 = 7 11 + -12x = 7 + -7x Solving 11 + -12x = 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 + -12x + 7x = 7 + -7x + 7x Combine like terms: -12x + 7x = -5x 11 + -5x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 11 + -5x = 7 + 0 11 + -5x = 7 Add '-11' to each side of the equation. 11 + -11 + -5x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 7 + -11 -5x = 7 + -11 Combine like terms: 7 + -11 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8
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