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Simplifying -5(3x + 2) + -20 = -9(x + 5) + 3x Reorder the terms: -5(2 + 3x) + -20 = -9(x + 5) + 3x (2 * -5 + 3x * -5) + -20 = -9(x + 5) + 3x (-10 + -15x) + -20 = -9(x + 5) + 3x Reorder the terms: -10 + -20 + -15x = -9(x + 5) + 3x Combine like terms: -10 + -20 = -30 -30 + -15x = -9(x + 5) + 3x Reorder the terms: -30 + -15x = -9(5 + x) + 3x -30 + -15x = (5 * -9 + x * -9) + 3x -30 + -15x = (-45 + -9x) + 3x Combine like terms: -9x + 3x = -6x -30 + -15x = -45 + -6x Solving -30 + -15x = -45 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + -15x + 6x = -45 + -6x + 6x Combine like terms: -15x + 6x = -9x -30 + -9x = -45 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + -9x = -45 + 0 -30 + -9x = -45 Add '30' to each side of the equation. -30 + 30 + -9x = -45 + 30 Combine like terms: -30 + 30 = 0 0 + -9x = -45 + 30 -9x = -45 + 30 Combine like terms: -45 + 30 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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