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Simplifying 7 + -1(8x + 2) + -3(3 + -5x) = 4 + 5(2x + -1) Reorder the terms: 7 + -1(2 + 8x) + -3(3 + -5x) = 4 + 5(2x + -1) 7 + (2 * -1 + 8x * -1) + -3(3 + -5x) = 4 + 5(2x + -1) 7 + (-2 + -8x) + -3(3 + -5x) = 4 + 5(2x + -1) 7 + -2 + -8x + (3 * -3 + -5x * -3) = 4 + 5(2x + -1) 7 + -2 + -8x + (-9 + 15x) = 4 + 5(2x + -1) Reorder the terms: 7 + -2 + -9 + -8x + 15x = 4 + 5(2x + -1) Combine like terms: 7 + -2 = 5 5 + -9 + -8x + 15x = 4 + 5(2x + -1) Combine like terms: 5 + -9 = -4 -4 + -8x + 15x = 4 + 5(2x + -1) Combine like terms: -8x + 15x = 7x -4 + 7x = 4 + 5(2x + -1) Reorder the terms: -4 + 7x = 4 + 5(-1 + 2x) -4 + 7x = 4 + (-1 * 5 + 2x * 5) -4 + 7x = 4 + (-5 + 10x) Combine like terms: 4 + -5 = -1 -4 + 7x = -1 + 10x Solving -4 + 7x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + 7x + -10x = -1 + 10x + -10x Combine like terms: 7x + -10x = -3x -4 + -3x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -3x = -1 + 0 -4 + -3x = -1 Add '4' to each side of the equation. -4 + 4 + -3x = -1 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -1 + 4 -3x = -1 + 4 Combine like terms: -1 + 4 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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