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Simplifying 7(6x + 7) + -7 = -38 + 2x Reorder the terms: 7(7 + 6x) + -7 = -38 + 2x (7 * 7 + 6x * 7) + -7 = -38 + 2x (49 + 42x) + -7 = -38 + 2x Reorder the terms: 49 + -7 + 42x = -38 + 2x Combine like terms: 49 + -7 = 42 42 + 42x = -38 + 2x Solving 42 + 42x = -38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + 42x + -2x = -38 + 2x + -2x Combine like terms: 42x + -2x = 40x 42 + 40x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 40x = -38 + 0 42 + 40x = -38 Add '-42' to each side of the equation. 42 + -42 + 40x = -38 + -42 Combine like terms: 42 + -42 = 0 0 + 40x = -38 + -42 40x = -38 + -42 Combine like terms: -38 + -42 = -80 40x = -80 Divide each side by '40'. x = -2 Simplifying x = -2
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