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Simplifying 6[-4x + 7 + -2(x + 1)] = 3x + 1 Reorder the terms: 6[-4x + 7 + -2(1 + x)] = 3x + 1 6[-4x + 7 + (1 * -2 + x * -2)] = 3x + 1 6[-4x + 7 + (-2 + -2x)] = 3x + 1 Reorder the terms: 6[7 + -2 + -4x + -2x] = 3x + 1 Combine like terms: 7 + -2 = 5 6[5 + -4x + -2x] = 3x + 1 Combine like terms: -4x + -2x = -6x 6[5 + -6x] = 3x + 1 [5 * 6 + -6x * 6] = 3x + 1 [30 + -36x] = 3x + 1 Reorder the terms: 30 + -36x = 1 + 3x Solving 30 + -36x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + -36x + -3x = 1 + 3x + -3x Combine like terms: -36x + -3x = -39x 30 + -39x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -39x = 1 + 0 30 + -39x = 1 Add '-30' to each side of the equation. 30 + -30 + -39x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + -39x = 1 + -30 -39x = 1 + -30 Combine like terms: 1 + -30 = -29 -39x = -29 Divide each side by '-39'. x = 0.7435897436 Simplifying x = 0.7435897436
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