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Simplifying 3x + 32 = 0.5(19x + 38) Reorder the terms: 32 + 3x = 0.5(19x + 38) Reorder the terms: 32 + 3x = 0.5(38 + 19x) 32 + 3x = (38 * 0.5 + 19x * 0.5) 32 + 3x = (19 + 9.5x) Solving 32 + 3x = 19 + 9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5x' to each side of the equation. 32 + 3x + -9.5x = 19 + 9.5x + -9.5x Combine like terms: 3x + -9.5x = -6.5x 32 + -6.5x = 19 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 32 + -6.5x = 19 + 0.0 32 + -6.5x = 19 Add '-32' to each side of the equation. 32 + -32 + -6.5x = 19 + -32 Combine like terms: 32 + -32 = 0 0 + -6.5x = 19 + -32 -6.5x = 19 + -32 Combine like terms: 19 + -32 = -13 -6.5x = -13 Divide each side by '-6.5'. x = 2 Simplifying x = 2
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