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Simplifying 7x + 3(1 + 6x) = -6(-7x + 8) 7x + (1 * 3 + 6x * 3) = -6(-7x + 8) 7x + (3 + 18x) = -6(-7x + 8) Reorder the terms: 3 + 7x + 18x = -6(-7x + 8) Combine like terms: 7x + 18x = 25x 3 + 25x = -6(-7x + 8) Reorder the terms: 3 + 25x = -6(8 + -7x) 3 + 25x = (8 * -6 + -7x * -6) 3 + 25x = (-48 + 42x) Solving 3 + 25x = -48 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 3 + 25x + -42x = -48 + 42x + -42x Combine like terms: 25x + -42x = -17x 3 + -17x = -48 + 42x + -42x Combine like terms: 42x + -42x = 0 3 + -17x = -48 + 0 3 + -17x = -48 Add '-3' to each side of the equation. 3 + -3 + -17x = -48 + -3 Combine like terms: 3 + -3 = 0 0 + -17x = -48 + -3 -17x = -48 + -3 Combine like terms: -48 + -3 = -51 -17x = -51 Divide each side by '-17'. x = 3 Simplifying x = 3
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