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Simplifying 3[x + -1(4x + -1)] = -3(2x + -5) Reorder the terms: 3[x + -1(-1 + 4x)] = -3(2x + -5) 3[x + (-1 * -1 + 4x * -1)] = -3(2x + -5) 3[x + (1 + -4x)] = -3(2x + -5) Reorder the terms: 3[1 + x + -4x] = -3(2x + -5) Combine like terms: x + -4x = -3x 3[1 + -3x] = -3(2x + -5) [1 * 3 + -3x * 3] = -3(2x + -5) [3 + -9x] = -3(2x + -5) Reorder the terms: 3 + -9x = -3(-5 + 2x) 3 + -9x = (-5 * -3 + 2x * -3) 3 + -9x = (15 + -6x) Solving 3 + -9x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + -9x + 6x = 15 + -6x + 6x Combine like terms: -9x + 6x = -3x 3 + -3x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + -3x = 15 + 0 3 + -3x = 15 Add '-3' to each side of the equation. 3 + -3 + -3x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 15 + -3 -3x = 15 + -3 Combine like terms: 15 + -3 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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