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Simplifying (2x + 7) * 6 = -7x + 4 Reorder the terms: (7 + 2x) * 6 = -7x + 4 Reorder the terms for easier multiplication: 6(7 + 2x) = -7x + 4 (7 * 6 + 2x * 6) = -7x + 4 (42 + 12x) = -7x + 4 Reorder the terms: 42 + 12x = 4 + -7x Solving 42 + 12x = 4 + -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. 42 + 12x + 7x = 4 + -7x + 7x Combine like terms: 12x + 7x = 19x 42 + 19x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + 19x = 4 + 0 42 + 19x = 4 Add '-42' to each side of the equation. 42 + -42 + 19x = 4 + -42 Combine like terms: 42 + -42 = 0 0 + 19x = 4 + -42 19x = 4 + -42 Combine like terms: 4 + -42 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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