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Simplifying 7x + -10 = 6[11 + -2x] Reorder the terms: -10 + 7x = 6[11 + -2x] -10 + 7x = [11 * 6 + -2x * 6] -10 + 7x = [66 + -12x] Solving -10 + 7x = 66 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -10 + 7x + 12x = 66 + -12x + 12x Combine like terms: 7x + 12x = 19x -10 + 19x = 66 + -12x + 12x Combine like terms: -12x + 12x = 0 -10 + 19x = 66 + 0 -10 + 19x = 66 Add '10' to each side of the equation. -10 + 10 + 19x = 66 + 10 Combine like terms: -10 + 10 = 0 0 + 19x = 66 + 10 19x = 66 + 10 Combine like terms: 66 + 10 = 76 19x = 76 Divide each side by '19'. x = 4 Simplifying x = 4
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