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Simplifying 21 + 1.1x = 3(0.5x + 6) Reorder the terms: 21 + 1.1x = 3(6 + 0.5x) 21 + 1.1x = (6 * 3 + 0.5x * 3) 21 + 1.1x = (18 + 1.5x) Solving 21 + 1.1x = 18 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 21 + 1.1x + -1.5x = 18 + 1.5x + -1.5x Combine like terms: 1.1x + -1.5x = -0.4x 21 + -0.4x = 18 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 21 + -0.4x = 18 + 0.0 21 + -0.4x = 18 Add '-21' to each side of the equation. 21 + -21 + -0.4x = 18 + -21 Combine like terms: 21 + -21 = 0 0 + -0.4x = 18 + -21 -0.4x = 18 + -21 Combine like terms: 18 + -21 = -3 -0.4x = -3 Divide each side by '-0.4'. x = 7.5 Simplifying x = 7.5
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