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Simplifying 6[7x * 1 + 3(x + 1)] = 2x + 4 Reorder the terms for easier multiplication: 6[7 * 1x + 3(x + 1)] = 2x + 4 Multiply 7 * 1 6[7x + 3(x + 1)] = 2x + 4 Reorder the terms: 6[7x + 3(1 + x)] = 2x + 4 6[7x + (1 * 3 + x * 3)] = 2x + 4 6[7x + (3 + 3x)] = 2x + 4 Reorder the terms: 6[3 + 7x + 3x] = 2x + 4 Combine like terms: 7x + 3x = 10x 6[3 + 10x] = 2x + 4 [3 * 6 + 10x * 6] = 2x + 4 [18 + 60x] = 2x + 4 Reorder the terms: 18 + 60x = 4 + 2x Solving 18 + 60x = 4 + 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. 18 + 60x + -2x = 4 + 2x + -2x Combine like terms: 60x + -2x = 58x 18 + 58x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 58x = 4 + 0 18 + 58x = 4 Add '-18' to each side of the equation. 18 + -18 + 58x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 58x = 4 + -18 58x = 4 + -18 Combine like terms: 4 + -18 = -14 58x = -14 Divide each side by '58'. x = -0.2413793103 Simplifying x = -0.2413793103
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