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Simplifying 3(4 + -1(-5x + -7)) = 105x + 159 Reorder the terms: 3(4 + -1(-7 + -5x)) = 105x + 159 3(4 + (-7 * -1 + -5x * -1)) = 105x + 159 3(4 + (7 + 5x)) = 105x + 159 Combine like terms: 4 + 7 = 11 3(11 + 5x) = 105x + 159 (11 * 3 + 5x * 3) = 105x + 159 (33 + 15x) = 105x + 159 Reorder the terms: 33 + 15x = 159 + 105x Solving 33 + 15x = 159 + 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. 33 + 15x + -105x = 159 + 105x + -105x Combine like terms: 15x + -105x = -90x 33 + -90x = 159 + 105x + -105x Combine like terms: 105x + -105x = 0 33 + -90x = 159 + 0 33 + -90x = 159 Add '-33' to each side of the equation. 33 + -33 + -90x = 159 + -33 Combine like terms: 33 + -33 = 0 0 + -90x = 159 + -33 -90x = 159 + -33 Combine like terms: 159 + -33 = 126 -90x = 126 Divide each side by '-90'. x = -1.4 Simplifying x = -1.4
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