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Simplifying 5(3x + -9) = 13x + -37 Reorder the terms: 5(-9 + 3x) = 13x + -37 (-9 * 5 + 3x * 5) = 13x + -37 (-45 + 15x) = 13x + -37 Reorder the terms: -45 + 15x = -37 + 13x Solving -45 + 15x = -37 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -45 + 15x + -13x = -37 + 13x + -13x Combine like terms: 15x + -13x = 2x -45 + 2x = -37 + 13x + -13x Combine like terms: 13x + -13x = 0 -45 + 2x = -37 + 0 -45 + 2x = -37 Add '45' to each side of the equation. -45 + 45 + 2x = -37 + 45 Combine like terms: -45 + 45 = 0 0 + 2x = -37 + 45 2x = -37 + 45 Combine like terms: -37 + 45 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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