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Simplifying -4[x + 3] + -7[8 + -2x] = 9[x + -6] + 1 Reorder the terms: -4[3 + x] + -7[8 + -2x] = 9[x + -6] + 1 [3 * -4 + x * -4] + -7[8 + -2x] = 9[x + -6] + 1 [-12 + -4x] + -7[8 + -2x] = 9[x + -6] + 1 -12 + -4x + [8 * -7 + -2x * -7] = 9[x + -6] + 1 -12 + -4x + [-56 + 14x] = 9[x + -6] + 1 Reorder the terms: -12 + -56 + -4x + 14x = 9[x + -6] + 1 Combine like terms: -12 + -56 = -68 -68 + -4x + 14x = 9[x + -6] + 1 Combine like terms: -4x + 14x = 10x -68 + 10x = 9[x + -6] + 1 Reorder the terms: -68 + 10x = 9[-6 + x] + 1 -68 + 10x = [-6 * 9 + x * 9] + 1 -68 + 10x = [-54 + 9x] + 1 Reorder the terms: -68 + 10x = -54 + 1 + 9x Combine like terms: -54 + 1 = -53 -68 + 10x = -53 + 9x Solving -68 + 10x = -53 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -68 + 10x + -9x = -53 + 9x + -9x Combine like terms: 10x + -9x = 1x -68 + 1x = -53 + 9x + -9x Combine like terms: 9x + -9x = 0 -68 + 1x = -53 + 0 -68 + 1x = -53 Add '68' to each side of the equation. -68 + 68 + 1x = -53 + 68 Combine like terms: -68 + 68 = 0 0 + 1x = -53 + 68 1x = -53 + 68 Combine like terms: -53 + 68 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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