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Simplifying 6[5 + -1(-5x + -2)] = 90x + 66 Reorder the terms: 6[5 + -1(-2 + -5x)] = 90x + 66 6[5 + (-2 * -1 + -5x * -1)] = 90x + 66 6[5 + (2 + 5x)] = 90x + 66 Combine like terms: 5 + 2 = 7 6[7 + 5x] = 90x + 66 [7 * 6 + 5x * 6] = 90x + 66 [42 + 30x] = 90x + 66 Reorder the terms: 42 + 30x = 66 + 90x Solving 42 + 30x = 66 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 42 + 30x + -90x = 66 + 90x + -90x Combine like terms: 30x + -90x = -60x 42 + -60x = 66 + 90x + -90x Combine like terms: 90x + -90x = 0 42 + -60x = 66 + 0 42 + -60x = 66 Add '-42' to each side of the equation. 42 + -42 + -60x = 66 + -42 Combine like terms: 42 + -42 = 0 0 + -60x = 66 + -42 -60x = 66 + -42 Combine like terms: 66 + -42 = 24 -60x = 24 Divide each side by '-60'. x = -0.4 Simplifying x = -0.4
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