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Simplifying 5[1 + -1(5x + -6)] = 6(7 + -3x) Reorder the terms: 5[1 + -1(-6 + 5x)] = 6(7 + -3x) 5[1 + (-6 * -1 + 5x * -1)] = 6(7 + -3x) 5[1 + (6 + -5x)] = 6(7 + -3x) Combine like terms: 1 + 6 = 7 5[7 + -5x] = 6(7 + -3x) [7 * 5 + -5x * 5] = 6(7 + -3x) [35 + -25x] = 6(7 + -3x) 35 + -25x = (7 * 6 + -3x * 6) 35 + -25x = (42 + -18x) Solving 35 + -25x = 42 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 35 + -25x + 18x = 42 + -18x + 18x Combine like terms: -25x + 18x = -7x 35 + -7x = 42 + -18x + 18x Combine like terms: -18x + 18x = 0 35 + -7x = 42 + 0 35 + -7x = 42 Add '-35' to each side of the equation. 35 + -35 + -7x = 42 + -35 Combine like terms: 35 + -35 = 0 0 + -7x = 42 + -35 -7x = 42 + -35 Combine like terms: 42 + -35 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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