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Simplifying -5[(3x + 1) + -1(4x + -2)] = 6(6 + -1x) + -4 Reorder the terms: -5[(1 + 3x) + -1(4x + -2)] = 6(6 + -1x) + -4 Remove parenthesis around (1 + 3x) -5[1 + 3x + -1(4x + -2)] = 6(6 + -1x) + -4 Reorder the terms: -5[1 + 3x + -1(-2 + 4x)] = 6(6 + -1x) + -4 -5[1 + 3x + (-2 * -1 + 4x * -1)] = 6(6 + -1x) + -4 -5[1 + 3x + (2 + -4x)] = 6(6 + -1x) + -4 Reorder the terms: -5[1 + 2 + 3x + -4x] = 6(6 + -1x) + -4 Combine like terms: 1 + 2 = 3 -5[3 + 3x + -4x] = 6(6 + -1x) + -4 Combine like terms: 3x + -4x = -1x -5[3 + -1x] = 6(6 + -1x) + -4 [3 * -5 + -1x * -5] = 6(6 + -1x) + -4 [-15 + 5x] = 6(6 + -1x) + -4 -15 + 5x = (6 * 6 + -1x * 6) + -4 -15 + 5x = (36 + -6x) + -4 Reorder the terms: -15 + 5x = 36 + -4 + -6x Combine like terms: 36 + -4 = 32 -15 + 5x = 32 + -6x Solving -15 + 5x = 32 + -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. -15 + 5x + 6x = 32 + -6x + 6x Combine like terms: 5x + 6x = 11x -15 + 11x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 11x = 32 + 0 -15 + 11x = 32 Add '15' to each side of the equation. -15 + 15 + 11x = 32 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = 32 + 15 11x = 32 + 15 Combine like terms: 32 + 15 = 47 11x = 47 Divide each side by '11'. x = 4.272727273 Simplifying x = 4.272727273
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