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Simplifying 5(3x + -5) + -18 = 13x + 35 Reorder the terms: 5(-5 + 3x) + -18 = 13x + 35 (-5 * 5 + 3x * 5) + -18 = 13x + 35 (-25 + 15x) + -18 = 13x + 35 Reorder the terms: -25 + -18 + 15x = 13x + 35 Combine like terms: -25 + -18 = -43 -43 + 15x = 13x + 35 Reorder the terms: -43 + 15x = 35 + 13x Solving -43 + 15x = 35 + 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. -43 + 15x + -13x = 35 + 13x + -13x Combine like terms: 15x + -13x = 2x -43 + 2x = 35 + 13x + -13x Combine like terms: 13x + -13x = 0 -43 + 2x = 35 + 0 -43 + 2x = 35 Add '43' to each side of the equation. -43 + 43 + 2x = 35 + 43 Combine like terms: -43 + 43 = 0 0 + 2x = 35 + 43 2x = 35 + 43 Combine like terms: 35 + 43 = 78 2x = 78 Divide each side by '2'. x = 39 Simplifying x = 39
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