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Simplifying 10x + 19 = 5(4 + 3x) Reorder the terms: 19 + 10x = 5(4 + 3x) 19 + 10x = (4 * 5 + 3x * 5) 19 + 10x = (20 + 15x) Solving 19 + 10x = 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 + 10x + -15x = 20 + 15x + -15x Combine like terms: 10x + -15x = -5x 19 + -5x = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 19 + -5x = 20 + 0 19 + -5x = 20 Add '-19' to each side of the equation. 19 + -19 + -5x = 20 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = 20 + -19 -5x = 20 + -19 Combine like terms: 20 + -19 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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