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Simplifying 6[7(x + 8)] = 10[10(x + -2)] Reorder the terms: 6[7(8 + x)] = 10[10(x + -2)] 6[(8 * 7 + x * 7)] = 10[10(x + -2)] 6[(56 + 7x)] = 10[10(x + -2)] [56 * 6 + 7x * 6] = 10[10(x + -2)] [336 + 42x] = 10[10(x + -2)] Reorder the terms: 336 + 42x = 10[10(-2 + x)] 336 + 42x = 10[(-2 * 10 + x * 10)] 336 + 42x = 10[(-20 + 10x)] 336 + 42x = [-20 * 10 + 10x * 10] 336 + 42x = [-200 + 100x] Solving 336 + 42x = -200 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 336 + 42x + -100x = -200 + 100x + -100x Combine like terms: 42x + -100x = -58x 336 + -58x = -200 + 100x + -100x Combine like terms: 100x + -100x = 0 336 + -58x = -200 + 0 336 + -58x = -200 Add '-336' to each side of the equation. 336 + -336 + -58x = -200 + -336 Combine like terms: 336 + -336 = 0 0 + -58x = -200 + -336 -58x = -200 + -336 Combine like terms: -200 + -336 = -536 -58x = -536 Divide each side by '-58'. x = 9.24137931 Simplifying x = 9.24137931
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