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Simplifying 13x + -15 = 4(3x + 5) + -5 Reorder the terms: -15 + 13x = 4(3x + 5) + -5 Reorder the terms: -15 + 13x = 4(5 + 3x) + -5 -15 + 13x = (5 * 4 + 3x * 4) + -5 -15 + 13x = (20 + 12x) + -5 Reorder the terms: -15 + 13x = 20 + -5 + 12x Combine like terms: 20 + -5 = 15 -15 + 13x = 15 + 12x Solving -15 + 13x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 13x + -12x = 15 + 12x + -12x Combine like terms: 13x + -12x = 1x -15 + 1x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + 1x = 15 + 0 -15 + 1x = 15 Add '15' to each side of the equation. -15 + 15 + 1x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 15 + 15 1x = 15 + 15 Combine like terms: 15 + 15 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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