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Simplifying 2(x + -5) = 5(3x + 9) Reorder the terms: 2(-5 + x) = 5(3x + 9) (-5 * 2 + x * 2) = 5(3x + 9) (-10 + 2x) = 5(3x + 9) Reorder the terms: -10 + 2x = 5(9 + 3x) -10 + 2x = (9 * 5 + 3x * 5) -10 + 2x = (45 + 15x) Solving -10 + 2x = 45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 2x + -15x = 45 + 15x + -15x Combine like terms: 2x + -15x = -13x -10 + -13x = 45 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + -13x = 45 + 0 -10 + -13x = 45 Add '10' to each side of the equation. -10 + 10 + -13x = 45 + 10 Combine like terms: -10 + 10 = 0 0 + -13x = 45 + 10 -13x = 45 + 10 Combine like terms: 45 + 10 = 55 -13x = 55 Divide each side by '-13'. x = -4.230769231 Simplifying x = -4.230769231
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