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Simplifying 1 + -1[5(x + 2) + -7] = 6(-1x + -3) Reorder the terms: 1 + -1[5(2 + x) + -7] = 6(-1x + -3) 1 + -1[(2 * 5 + x * 5) + -7] = 6(-1x + -3) 1 + -1[(10 + 5x) + -7] = 6(-1x + -3) Reorder the terms: 1 + -1[10 + -7 + 5x] = 6(-1x + -3) Combine like terms: 10 + -7 = 3 1 + -1[3 + 5x] = 6(-1x + -3) 1 + [3 * -1 + 5x * -1] = 6(-1x + -3) 1 + [-3 + -5x] = 6(-1x + -3) Combine like terms: 1 + -3 = -2 -2 + -5x = 6(-1x + -3) Reorder the terms: -2 + -5x = 6(-3 + -1x) -2 + -5x = (-3 * 6 + -1x * 6) -2 + -5x = (-18 + -6x) Solving -2 + -5x = -18 + -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. -2 + -5x + 6x = -18 + -6x + 6x Combine like terms: -5x + 6x = 1x -2 + 1x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 1x = -18 + 0 -2 + 1x = -18 Add '2' to each side of the equation. -2 + 2 + 1x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -18 + 2 1x = -18 + 2 Combine like terms: -18 + 2 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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