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Simplifying 18.6x + 7.2 = 1.5(48 + -2x) Reorder the terms: 7.2 + 18.6x = 1.5(48 + -2x) 7.2 + 18.6x = (48 * 1.5 + -2x * 1.5) 7.2 + 18.6x = (72 + -3x) Solving 7.2 + 18.6x = 72 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7.2 + 18.6x + 3x = 72 + -3x + 3x Combine like terms: 18.6x + 3x = 21.6x 7.2 + 21.6x = 72 + -3x + 3x Combine like terms: -3x + 3x = 0 7.2 + 21.6x = 72 + 0 7.2 + 21.6x = 72 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 21.6x = 72 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 21.6x = 72 + -7.2 21.6x = 72 + -7.2 Combine like terms: 72 + -7.2 = 64.8 21.6x = 64.8 Divide each side by '21.6'. x = 3 Simplifying x = 3
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