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Simplifying 3[7 + -1(-7x + -8)] = 105x + 141 Reorder the terms: 3[7 + -1(-8 + -7x)] = 105x + 141 3[7 + (-8 * -1 + -7x * -1)] = 105x + 141 3[7 + (8 + 7x)] = 105x + 141 Combine like terms: 7 + 8 = 15 3[15 + 7x] = 105x + 141 [15 * 3 + 7x * 3] = 105x + 141 [45 + 21x] = 105x + 141 Reorder the terms: 45 + 21x = 141 + 105x Solving 45 + 21x = 141 + 105x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105x' to each side of the equation. 45 + 21x + -105x = 141 + 105x + -105x Combine like terms: 21x + -105x = -84x 45 + -84x = 141 + 105x + -105x Combine like terms: 105x + -105x = 0 45 + -84x = 141 + 0 45 + -84x = 141 Add '-45' to each side of the equation. 45 + -45 + -84x = 141 + -45 Combine like terms: 45 + -45 = 0 0 + -84x = 141 + -45 -84x = 141 + -45 Combine like terms: 141 + -45 = 96 -84x = 96 Divide each side by '-84'. x = -1.142857143 Simplifying x = -1.142857143
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