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Simplifying 0.75(2x + 4) = x + 19 Reorder the terms: 0.75(4 + 2x) = x + 19 (4 * 0.75 + 2x * 0.75) = x + 19 (3 + 1.5x) = x + 19 Reorder the terms: 3 + 1.5x = 19 + x Solving 3 + 1.5x = 19 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 1.5x + -1x = 19 + x + -1x Combine like terms: 1.5x + -1x = 0.5x 3 + 0.5x = 19 + x + -1x Combine like terms: x + -1x = 0 3 + 0.5x = 19 + 0 3 + 0.5x = 19 Add '-3' to each side of the equation. 3 + -3 + 0.5x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 0.5x = 19 + -3 0.5x = 19 + -3 Combine like terms: 19 + -3 = 16 0.5x = 16 Divide each side by '0.5'. x = 32 Simplifying x = 32
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