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Simplifying [8(x + 4) + -18] + -1[4(x + -5) + 7] = 0 Reorder the terms: [8(4 + x) + -18] + -1[4(x + -5) + 7] = 0 [(4 * 8 + x * 8) + -18] + -1[4(x + -5) + 7] = 0 [(32 + 8x) + -18] + -1[4(x + -5) + 7] = 0 Reorder the terms: [32 + -18 + 8x] + -1[4(x + -5) + 7] = 0 Combine like terms: 32 + -18 = 14 [14 + 8x] + -1[4(x + -5) + 7] = 0 Remove brackets around [14 + 8x] 14 + 8x + -1[4(x + -5) + 7] = 0 Reorder the terms: 14 + 8x + -1[4(-5 + x) + 7] = 0 14 + 8x + -1[(-5 * 4 + x * 4) + 7] = 0 14 + 8x + -1[(-20 + 4x) + 7] = 0 Reorder the terms: 14 + 8x + -1[-20 + 7 + 4x] = 0 Combine like terms: -20 + 7 = -13 14 + 8x + -1[-13 + 4x] = 0 14 + 8x + [-13 * -1 + 4x * -1] = 0 14 + 8x + [13 + -4x] = 0 Reorder the terms: 14 + 13 + 8x + -4x = 0 Combine like terms: 14 + 13 = 27 27 + 8x + -4x = 0 Combine like terms: 8x + -4x = 4x 27 + 4x = 0 Solving 27 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 4x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 0 + -27 4x = 0 + -27 Combine like terms: 0 + -27 = -27 4x = -27 Divide each side by '4'. x = -6.75 Simplifying x = -6.75
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