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Simplifying [-6x + -1(3x + 3)] = -4 + -1[4(2x + -3) + -3x] Reorder the terms: [-6x + -1(3 + 3x)] = -4 + -1[4(2x + -3) + -3x] [-6x + (3 * -1 + 3x * -1)] = -4 + -1[4(2x + -3) + -3x] [-6x + (-3 + -3x)] = -4 + -1[4(2x + -3) + -3x] Reorder the terms: [-3 + -6x + -3x] = -4 + -1[4(2x + -3) + -3x] Combine like terms: -6x + -3x = -9x [-3 + -9x] = -4 + -1[4(2x + -3) + -3x] Remove brackets around [-3 + -9x] -3 + -9x = -4 + -1[4(2x + -3) + -3x] Reorder the terms: -3 + -9x = -4 + -1[4(-3 + 2x) + -3x] -3 + -9x = -4 + -1[(-3 * 4 + 2x * 4) + -3x] -3 + -9x = -4 + -1[(-12 + 8x) + -3x] Combine like terms: 8x + -3x = 5x -3 + -9x = -4 + -1[-12 + 5x] -3 + -9x = -4 + [-12 * -1 + 5x * -1] -3 + -9x = -4 + [12 + -5x] Combine like terms: -4 + 12 = 8 -3 + -9x = 8 + -5x Solving -3 + -9x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + -9x + 5x = 8 + -5x + 5x Combine like terms: -9x + 5x = -4x -3 + -4x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + -4x = 8 + 0 -3 + -4x = 8 Add '3' to each side of the equation. -3 + 3 + -4x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 8 + 3 -4x = 8 + 3 Combine like terms: 8 + 3 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75
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