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Simplifying [7(x + 5) + -15] + -1[4(x + -6) + 7] = 0 Reorder the terms: [7(5 + x) + -15] + -1[4(x + -6) + 7] = 0 [(5 * 7 + x * 7) + -15] + -1[4(x + -6) + 7] = 0 [(35 + 7x) + -15] + -1[4(x + -6) + 7] = 0 Reorder the terms: [35 + -15 + 7x] + -1[4(x + -6) + 7] = 0 Combine like terms: 35 + -15 = 20 [20 + 7x] + -1[4(x + -6) + 7] = 0 Remove brackets around [20 + 7x] 20 + 7x + -1[4(x + -6) + 7] = 0 Reorder the terms: 20 + 7x + -1[4(-6 + x) + 7] = 0 20 + 7x + -1[(-6 * 4 + x * 4) + 7] = 0 20 + 7x + -1[(-24 + 4x) + 7] = 0 Reorder the terms: 20 + 7x + -1[-24 + 7 + 4x] = 0 Combine like terms: -24 + 7 = -17 20 + 7x + -1[-17 + 4x] = 0 20 + 7x + [-17 * -1 + 4x * -1] = 0 20 + 7x + [17 + -4x] = 0 Reorder the terms: 20 + 17 + 7x + -4x = 0 Combine like terms: 20 + 17 = 37 37 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 37 + 3x = 0 Solving 37 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 3x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 3x = 0 + -37 3x = 0 + -37 Combine like terms: 0 + -37 = -37 3x = -37 Divide each side by '3'. x = -12.33333333 Simplifying x = -12.33333333
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