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Simplifying -7(7x + -1(2x + 5)) = -4 + -1(3(3x + -4) + -2x) Reorder the terms: -7(7x + -1(5 + 2x)) = -4 + -1(3(3x + -4) + -2x) -7(7x + (5 * -1 + 2x * -1)) = -4 + -1(3(3x + -4) + -2x) -7(7x + (-5 + -2x)) = -4 + -1(3(3x + -4) + -2x) Reorder the terms: -7(-5 + 7x + -2x) = -4 + -1(3(3x + -4) + -2x) Combine like terms: 7x + -2x = 5x -7(-5 + 5x) = -4 + -1(3(3x + -4) + -2x) (-5 * -7 + 5x * -7) = -4 + -1(3(3x + -4) + -2x) (35 + -35x) = -4 + -1(3(3x + -4) + -2x) Reorder the terms: 35 + -35x = -4 + -1(3(-4 + 3x) + -2x) 35 + -35x = -4 + -1((-4 * 3 + 3x * 3) + -2x) 35 + -35x = -4 + -1((-12 + 9x) + -2x) Combine like terms: 9x + -2x = 7x 35 + -35x = -4 + -1(-12 + 7x) 35 + -35x = -4 + (-12 * -1 + 7x * -1) 35 + -35x = -4 + (12 + -7x) Combine like terms: -4 + 12 = 8 35 + -35x = 8 + -7x Solving 35 + -35x = 8 + -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. 35 + -35x + 7x = 8 + -7x + 7x Combine like terms: -35x + 7x = -28x 35 + -28x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 35 + -28x = 8 + 0 35 + -28x = 8 Add '-35' to each side of the equation. 35 + -35 + -28x = 8 + -35 Combine like terms: 35 + -35 = 0 0 + -28x = 8 + -35 -28x = 8 + -35 Combine like terms: 8 + -35 = -27 -28x = -27 Divide each side by '-28'. x = 0.9642857143 Simplifying x = 0.9642857143
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