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Simplifying 7[-7x + -6 + -2(x + 1)] = -6x + 4 Reorder the terms: 7[-7x + -6 + -2(1 + x)] = -6x + 4 7[-7x + -6 + (1 * -2 + x * -2)] = -6x + 4 7[-7x + -6 + (-2 + -2x)] = -6x + 4 Reorder the terms: 7[-6 + -2 + -7x + -2x] = -6x + 4 Combine like terms: -6 + -2 = -8 7[-8 + -7x + -2x] = -6x + 4 Combine like terms: -7x + -2x = -9x 7[-8 + -9x] = -6x + 4 [-8 * 7 + -9x * 7] = -6x + 4 [-56 + -63x] = -6x + 4 Reorder the terms: -56 + -63x = 4 + -6x Solving -56 + -63x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -56 + -63x + 6x = 4 + -6x + 6x Combine like terms: -63x + 6x = -57x -56 + -57x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -56 + -57x = 4 + 0 -56 + -57x = 4 Add '56' to each side of the equation. -56 + 56 + -57x = 4 + 56 Combine like terms: -56 + 56 = 0 0 + -57x = 4 + 56 -57x = 4 + 56 Combine like terms: 4 + 56 = 60 -57x = 60 Divide each side by '-57'. x = -1.052631579 Simplifying x = -1.052631579
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