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Simplifying [7(x + 5) + -19] + -1[4(x + -6) + 11] = 0 Reorder the terms: [7(5 + x) + -19] + -1[4(x + -6) + 11] = 0 [(5 * 7 + x * 7) + -19] + -1[4(x + -6) + 11] = 0 [(35 + 7x) + -19] + -1[4(x + -6) + 11] = 0 Reorder the terms: [35 + -19 + 7x] + -1[4(x + -6) + 11] = 0 Combine like terms: 35 + -19 = 16 [16 + 7x] + -1[4(x + -6) + 11] = 0 Remove brackets around [16 + 7x] 16 + 7x + -1[4(x + -6) + 11] = 0 Reorder the terms: 16 + 7x + -1[4(-6 + x) + 11] = 0 16 + 7x + -1[(-6 * 4 + x * 4) + 11] = 0 16 + 7x + -1[(-24 + 4x) + 11] = 0 Reorder the terms: 16 + 7x + -1[-24 + 11 + 4x] = 0 Combine like terms: -24 + 11 = -13 16 + 7x + -1[-13 + 4x] = 0 16 + 7x + [-13 * -1 + 4x * -1] = 0 16 + 7x + [13 + -4x] = 0 Reorder the terms: 16 + 13 + 7x + -4x = 0 Combine like terms: 16 + 13 = 29 29 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 29 + 3x = 0 Solving 29 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 3x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 3x = 0 + -29 3x = 0 + -29 Combine like terms: 0 + -29 = -29 3x = -29 Divide each side by '3'. x = -9.666666667 Simplifying x = -9.666666667
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