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Simplifying 4(2x + -1(3 + -1x) + 5) = -1(2 + 7x) 4(2x + (3 * -1 + -1x * -1) + 5) = -1(2 + 7x) 4(2x + (-3 + 1x) + 5) = -1(2 + 7x) Reorder the terms: 4(-3 + 5 + 2x + 1x) = -1(2 + 7x) Combine like terms: -3 + 5 = 2 4(2 + 2x + 1x) = -1(2 + 7x) Combine like terms: 2x + 1x = 3x 4(2 + 3x) = -1(2 + 7x) (2 * 4 + 3x * 4) = -1(2 + 7x) (8 + 12x) = -1(2 + 7x) 8 + 12x = (2 * -1 + 7x * -1) 8 + 12x = (-2 + -7x) Solving 8 + 12x = -2 + -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. 8 + 12x + 7x = -2 + -7x + 7x Combine like terms: 12x + 7x = 19x 8 + 19x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 19x = -2 + 0 8 + 19x = -2 Add '-8' to each side of the equation. 8 + -8 + 19x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 19x = -2 + -8 19x = -2 + -8 Combine like terms: -2 + -8 = -10 19x = -10 Divide each side by '19'. x = -0.5263157895 Simplifying x = -0.5263157895
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