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Simplifying 7 + -3(2 + -4x) = 3x + -2(5x + -1) 7 + (2 * -3 + -4x * -3) = 3x + -2(5x + -1) 7 + (-6 + 12x) = 3x + -2(5x + -1) Combine like terms: 7 + -6 = 1 1 + 12x = 3x + -2(5x + -1) Reorder the terms: 1 + 12x = 3x + -2(-1 + 5x) 1 + 12x = 3x + (-1 * -2 + 5x * -2) 1 + 12x = 3x + (2 + -10x) Reorder the terms: 1 + 12x = 2 + 3x + -10x Combine like terms: 3x + -10x = -7x 1 + 12x = 2 + -7x Solving 1 + 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. 1 + 12x + 7x = 2 + -7x + 7x Combine like terms: 12x + 7x = 19x 1 + 19x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 19x = 2 + 0 1 + 19x = 2 Add '-1' to each side of the equation. 1 + -1 + 19x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 19x = 2 + -1 19x = 2 + -1 Combine like terms: 2 + -1 = 1 19x = 1 Divide each side by '19'. x = 0.05263157895 Simplifying x = 0.05263157895
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