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Simplifying 13 + -2x = 3(4x + -5) Reorder the terms: 13 + -2x = 3(-5 + 4x) 13 + -2x = (-5 * 3 + 4x * 3) 13 + -2x = (-15 + 12x) Solving 13 + -2x = -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. 13 + -2x + -12x = -15 + 12x + -12x Combine like terms: -2x + -12x = -14x 13 + -14x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -14x = -15 + 0 13 + -14x = -15 Add '-13' to each side of the equation. 13 + -13 + -14x = -15 + -13 Combine like terms: 13 + -13 = 0 0 + -14x = -15 + -13 -14x = -15 + -13 Combine like terms: -15 + -13 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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