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Simplifying 0.5(3x + 14 + 4x + 24) = 4x + 19 Reorder the terms: 0.5(14 + 24 + 3x + 4x) = 4x + 19 Combine like terms: 14 + 24 = 38 0.5(38 + 3x + 4x) = 4x + 19 Combine like terms: 3x + 4x = 7x 0.5(38 + 7x) = 4x + 19 (38 * 0.5 + 7x * 0.5) = 4x + 19 (19 + 3.5x) = 4x + 19 Reorder the terms: 19 + 3.5x = 19 + 4x Add '-19' to each side of the equation. 19 + -19 + 3.5x = 19 + -19 + 4x Combine like terms: 19 + -19 = 0 0 + 3.5x = 19 + -19 + 4x 3.5x = 19 + -19 + 4x Combine like terms: 19 + -19 = 0 3.5x = 0 + 4x 3.5x = 4x Solving 3.5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3.5x + -4x = 4x + -4x Combine like terms: 3.5x + -4x = -0.5x -0.5x = 4x + -4x Combine like terms: 4x + -4x = 0 -0.5x = 0 Divide each side by '-0.5'. x = 0 Simplifying x = 0
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