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Simplifying -6[6x + -7 + 5(x + 1)] = -5x + -6 Reorder the terms: -6[6x + -7 + 5(1 + x)] = -5x + -6 -6[6x + -7 + (1 * 5 + x * 5)] = -5x + -6 -6[6x + -7 + (5 + 5x)] = -5x + -6 Reorder the terms: -6[-7 + 5 + 6x + 5x] = -5x + -6 Combine like terms: -7 + 5 = -2 -6[-2 + 6x + 5x] = -5x + -6 Combine like terms: 6x + 5x = 11x -6[-2 + 11x] = -5x + -6 [-2 * -6 + 11x * -6] = -5x + -6 [12 + -66x] = -5x + -6 Reorder the terms: 12 + -66x = -6 + -5x Solving 12 + -66x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -66x + 5x = -6 + -5x + 5x Combine like terms: -66x + 5x = -61x 12 + -61x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + -61x = -6 + 0 12 + -61x = -6 Add '-12' to each side of the equation. 12 + -12 + -61x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -61x = -6 + -12 -61x = -6 + -12 Combine like terms: -6 + -12 = -18 -61x = -18 Divide each side by '-61'. x = 0.2950819672 Simplifying x = 0.2950819672
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