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Simplifying 7[6x + 2 + -3(x + 1)] = 4x + -2 Reorder the terms: 7[6x + 2 + -3(1 + x)] = 4x + -2 7[6x + 2 + (1 * -3 + x * -3)] = 4x + -2 7[6x + 2 + (-3 + -3x)] = 4x + -2 Reorder the terms: 7[2 + -3 + 6x + -3x] = 4x + -2 Combine like terms: 2 + -3 = -1 7[-1 + 6x + -3x] = 4x + -2 Combine like terms: 6x + -3x = 3x 7[-1 + 3x] = 4x + -2 [-1 * 7 + 3x * 7] = 4x + -2 [-7 + 21x] = 4x + -2 Reorder the terms: -7 + 21x = -2 + 4x Solving -7 + 21x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 21x + -4x = -2 + 4x + -4x Combine like terms: 21x + -4x = 17x -7 + 17x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 17x = -2 + 0 -7 + 17x = -2 Add '7' to each side of the equation. -7 + 7 + 17x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 17x = -2 + 7 17x = -2 + 7 Combine like terms: -2 + 7 = 5 17x = 5 Divide each side by '17'. x = 0.2941176471 Simplifying x = 0.2941176471
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