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Simplifying -4(x + -5) = 5x + -9 + 3(3x + 1) Reorder the terms: -4(-5 + x) = 5x + -9 + 3(3x + 1) (-5 * -4 + x * -4) = 5x + -9 + 3(3x + 1) (20 + -4x) = 5x + -9 + 3(3x + 1) Reorder the terms: 20 + -4x = 5x + -9 + 3(1 + 3x) 20 + -4x = 5x + -9 + (1 * 3 + 3x * 3) 20 + -4x = 5x + -9 + (3 + 9x) Reorder the terms: 20 + -4x = -9 + 3 + 5x + 9x Combine like terms: -9 + 3 = -6 20 + -4x = -6 + 5x + 9x Combine like terms: 5x + 9x = 14x 20 + -4x = -6 + 14x Solving 20 + -4x = -6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 20 + -4x + -14x = -6 + 14x + -14x Combine like terms: -4x + -14x = -18x 20 + -18x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 20 + -18x = -6 + 0 20 + -18x = -6 Add '-20' to each side of the equation. 20 + -20 + -18x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -18x = -6 + -20 -18x = -6 + -20 Combine like terms: -6 + -20 = -26 -18x = -26 Divide each side by '-18'. x = 1.444444444 Simplifying x = 1.444444444
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