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Simplifying 19 = -3x + 5(3x + -13) Reorder the terms: 19 = -3x + 5(-13 + 3x) 19 = -3x + (-13 * 5 + 3x * 5) 19 = -3x + (-65 + 15x) Reorder the terms: 19 = -65 + -3x + 15x Combine like terms: -3x + 15x = 12x 19 = -65 + 12x Solving 19 = -65 + 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. 19 + -12x = -65 + 12x + -12x Combine like terms: 12x + -12x = 0 19 + -12x = -65 + 0 19 + -12x = -65 Add '-19' to each side of the equation. 19 + -19 + -12x = -65 + -19 Combine like terms: 19 + -19 = 0 0 + -12x = -65 + -19 -12x = -65 + -19 Combine like terms: -65 + -19 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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