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Simplifying 2[-1(x + -1) + 4] = 5[-1(6x + -7) + 9x] Reorder the terms: 2[-1(-1 + x) + 4] = 5[-1(6x + -7) + 9x] 2[(-1 * -1 + x * -1) + 4] = 5[-1(6x + -7) + 9x] 2[(1 + -1x) + 4] = 5[-1(6x + -7) + 9x] Reorder the terms: 2[1 + 4 + -1x] = 5[-1(6x + -7) + 9x] Combine like terms: 1 + 4 = 5 2[5 + -1x] = 5[-1(6x + -7) + 9x] [5 * 2 + -1x * 2] = 5[-1(6x + -7) + 9x] [10 + -2x] = 5[-1(6x + -7) + 9x] Reorder the terms: 10 + -2x = 5[-1(-7 + 6x) + 9x] 10 + -2x = 5[(-7 * -1 + 6x * -1) + 9x] 10 + -2x = 5[(7 + -6x) + 9x] Combine like terms: -6x + 9x = 3x 10 + -2x = 5[7 + 3x] 10 + -2x = [7 * 5 + 3x * 5] 10 + -2x = [35 + 15x] Solving 10 + -2x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + -2x + -15x = 35 + 15x + -15x Combine like terms: -2x + -15x = -17x 10 + -17x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -17x = 35 + 0 10 + -17x = 35 Add '-10' to each side of the equation. 10 + -10 + -17x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + -17x = 35 + -10 -17x = 35 + -10 Combine like terms: 35 + -10 = 25 -17x = 25 Divide each side by '-17'. x = -1.470588235 Simplifying x = -1.470588235
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