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Simplifying 6x + -5[4(x + 8) + -1(x + -2)] + -2 = 0 Reorder the terms: 6x + -5[4(8 + x) + -1(x + -2)] + -2 = 0 6x + -5[(8 * 4 + x * 4) + -1(x + -2)] + -2 = 0 6x + -5[(32 + 4x) + -1(x + -2)] + -2 = 0 Reorder the terms: 6x + -5[32 + 4x + -1(-2 + x)] + -2 = 0 6x + -5[32 + 4x + (-2 * -1 + x * -1)] + -2 = 0 6x + -5[32 + 4x + (2 + -1x)] + -2 = 0 Reorder the terms: 6x + -5[32 + 2 + 4x + -1x] + -2 = 0 Combine like terms: 32 + 2 = 34 6x + -5[34 + 4x + -1x] + -2 = 0 Combine like terms: 4x + -1x = 3x 6x + -5[34 + 3x] + -2 = 0 6x + [34 * -5 + 3x * -5] + -2 = 0 6x + [-170 + -15x] + -2 = 0 Reorder the terms: -170 + -2 + 6x + -15x = 0 Combine like terms: -170 + -2 = -172 -172 + 6x + -15x = 0 Combine like terms: 6x + -15x = -9x -172 + -9x = 0 Solving -172 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '172' to each side of the equation. -172 + 172 + -9x = 0 + 172 Combine like terms: -172 + 172 = 0 0 + -9x = 0 + 172 -9x = 0 + 172 Combine like terms: 0 + 172 = 172 -9x = 172 Divide each side by '-9'. x = -19.11111111 Simplifying x = -19.11111111
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