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Simplifying 6x + -7[4(x + 3) + -1(x + -8)] + -2 = 0 Reorder the terms: 6x + -7[4(3 + x) + -1(x + -8)] + -2 = 0 6x + -7[(3 * 4 + x * 4) + -1(x + -8)] + -2 = 0 6x + -7[(12 + 4x) + -1(x + -8)] + -2 = 0 Reorder the terms: 6x + -7[12 + 4x + -1(-8 + x)] + -2 = 0 6x + -7[12 + 4x + (-8 * -1 + x * -1)] + -2 = 0 6x + -7[12 + 4x + (8 + -1x)] + -2 = 0 Reorder the terms: 6x + -7[12 + 8 + 4x + -1x] + -2 = 0 Combine like terms: 12 + 8 = 20 6x + -7[20 + 4x + -1x] + -2 = 0 Combine like terms: 4x + -1x = 3x 6x + -7[20 + 3x] + -2 = 0 6x + [20 * -7 + 3x * -7] + -2 = 0 6x + [-140 + -21x] + -2 = 0 Reorder the terms: -140 + -2 + 6x + -21x = 0 Combine like terms: -140 + -2 = -142 -142 + 6x + -21x = 0 Combine like terms: 6x + -21x = -15x -142 + -15x = 0 Solving -142 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '142' to each side of the equation. -142 + 142 + -15x = 0 + 142 Combine like terms: -142 + 142 = 0 0 + -15x = 0 + 142 -15x = 0 + 142 Combine like terms: 0 + 142 = 142 -15x = 142 Divide each side by '-15'. x = -9.466666667 Simplifying x = -9.466666667
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