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Simplifying 6[7 + -1(-3x + -2)] = 90x + 102 Reorder the terms: 6[7 + -1(-2 + -3x)] = 90x + 102 6[7 + (-2 * -1 + -3x * -1)] = 90x + 102 6[7 + (2 + 3x)] = 90x + 102 Combine like terms: 7 + 2 = 9 6[9 + 3x] = 90x + 102 [9 * 6 + 3x * 6] = 90x + 102 [54 + 18x] = 90x + 102 Reorder the terms: 54 + 18x = 102 + 90x Solving 54 + 18x = 102 + 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. 54 + 18x + -90x = 102 + 90x + -90x Combine like terms: 18x + -90x = -72x 54 + -72x = 102 + 90x + -90x Combine like terms: 90x + -90x = 0 54 + -72x = 102 + 0 54 + -72x = 102 Add '-54' to each side of the equation. 54 + -54 + -72x = 102 + -54 Combine like terms: 54 + -54 = 0 0 + -72x = 102 + -54 -72x = 102 + -54 Combine like terms: 102 + -54 = 48 -72x = 48 Divide each side by '-72'. x = -0.6666666667 Simplifying x = -0.6666666667
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