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Simplifying 2x + 19 = 5(3x + -4) Reorder the terms: 19 + 2x = 5(3x + -4) Reorder the terms: 19 + 2x = 5(-4 + 3x) 19 + 2x = (-4 * 5 + 3x * 5) 19 + 2x = (-20 + 15x) Solving 19 + 2x = -20 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 19 + 2x + -15x = -20 + 15x + -15x Combine like terms: 2x + -15x = -13x 19 + -13x = -20 + 15x + -15x Combine like terms: 15x + -15x = 0 19 + -13x = -20 + 0 19 + -13x = -20 Add '-19' to each side of the equation. 19 + -19 + -13x = -20 + -19 Combine like terms: 19 + -19 = 0 0 + -13x = -20 + -19 -13x = -20 + -19 Combine like terms: -20 + -19 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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