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Simplifying 6x + -7[2(x + 6) + -1(x + -2)] + -5 = 0 Reorder the terms: 6x + -7[2(6 + x) + -1(x + -2)] + -5 = 0 6x + -7[(6 * 2 + x * 2) + -1(x + -2)] + -5 = 0 6x + -7[(12 + 2x) + -1(x + -2)] + -5 = 0 Reorder the terms: 6x + -7[12 + 2x + -1(-2 + x)] + -5 = 0 6x + -7[12 + 2x + (-2 * -1 + x * -1)] + -5 = 0 6x + -7[12 + 2x + (2 + -1x)] + -5 = 0 Reorder the terms: 6x + -7[12 + 2 + 2x + -1x] + -5 = 0 Combine like terms: 12 + 2 = 14 6x + -7[14 + 2x + -1x] + -5 = 0 Combine like terms: 2x + -1x = 1x 6x + -7[14 + 1x] + -5 = 0 6x + [14 * -7 + 1x * -7] + -5 = 0 6x + [-98 + -7x] + -5 = 0 Reorder the terms: -98 + -5 + 6x + -7x = 0 Combine like terms: -98 + -5 = -103 -103 + 6x + -7x = 0 Combine like terms: 6x + -7x = -1x -103 + -1x = 0 Solving -103 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '103' to each side of the equation. -103 + 103 + -1x = 0 + 103 Combine like terms: -103 + 103 = 0 0 + -1x = 0 + 103 -1x = 0 + 103 Combine like terms: 0 + 103 = 103 -1x = 103 Divide each side by '-1'. x = -103 Simplifying x = -103
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