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Simplifying 6[7x + -1 + 3(x + 1)] = 2x + 4 Reorder the terms: 6[7x + -1 + 3(1 + x)] = 2x + 4 6[7x + -1 + (1 * 3 + x * 3)] = 2x + 4 6[7x + -1 + (3 + 3x)] = 2x + 4 Reorder the terms: 6[-1 + 3 + 7x + 3x] = 2x + 4 Combine like terms: -1 + 3 = 2 6[2 + 7x + 3x] = 2x + 4 Combine like terms: 7x + 3x = 10x 6[2 + 10x] = 2x + 4 [2 * 6 + 10x * 6] = 2x + 4 [12 + 60x] = 2x + 4 Reorder the terms: 12 + 60x = 4 + 2x Solving 12 + 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. 12 + 60x + -2x = 4 + 2x + -2x Combine like terms: 60x + -2x = 58x 12 + 58x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 58x = 4 + 0 12 + 58x = 4 Add '-12' to each side of the equation. 12 + -12 + 58x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 58x = 4 + -12 58x = 4 + -12 Combine like terms: 4 + -12 = -8 58x = -8 Divide each side by '58'. x = -0.1379310345 Simplifying x = -0.1379310345
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