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Simplifying -1(5x + 2) + -1[(2x + -1) + (4x + 15)] = -2x + 35 Reorder the terms: -1(2 + 5x) + -1[(2x + -1) + (4x + 15)] = -2x + 35 (2 * -1 + 5x * -1) + -1[(2x + -1) + (4x + 15)] = -2x + 35 (-2 + -5x) + -1[(2x + -1) + (4x + 15)] = -2x + 35 Reorder the terms: -2 + -5x + -1[(-1 + 2x) + (4x + 15)] = -2x + 35 Remove parenthesis around (-1 + 2x) -2 + -5x + -1[-1 + 2x + (4x + 15)] = -2x + 35 Reorder the terms: -2 + -5x + -1[-1 + 2x + (15 + 4x)] = -2x + 35 Remove parenthesis around (15 + 4x) -2 + -5x + -1[-1 + 2x + 15 + 4x] = -2x + 35 Reorder the terms: -2 + -5x + -1[-1 + 15 + 2x + 4x] = -2x + 35 Combine like terms: -1 + 15 = 14 -2 + -5x + -1[14 + 2x + 4x] = -2x + 35 Combine like terms: 2x + 4x = 6x -2 + -5x + -1[14 + 6x] = -2x + 35 -2 + -5x + [14 * -1 + 6x * -1] = -2x + 35 -2 + -5x + [-14 + -6x] = -2x + 35 Reorder the terms: -2 + -14 + -5x + -6x = -2x + 35 Combine like terms: -2 + -14 = -16 -16 + -5x + -6x = -2x + 35 Combine like terms: -5x + -6x = -11x -16 + -11x = -2x + 35 Reorder the terms: -16 + -11x = 35 + -2x Solving -16 + -11x = 35 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + -11x + 2x = 35 + -2x + 2x Combine like terms: -11x + 2x = -9x -16 + -9x = 35 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + -9x = 35 + 0 -16 + -9x = 35 Add '16' to each side of the equation. -16 + 16 + -9x = 35 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = 35 + 16 -9x = 35 + 16 Combine like terms: 35 + 16 = 51 -9x = 51 Divide each side by '-9'. x = -5.666666667 Simplifying x = -5.666666667
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