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Simplifying 1.6(1.5x + 7.5) = 0.6(6x + 30) Reorder the terms: 1.6(7.5 + 1.5x) = 0.6(6x + 30) (7.5 * 1.6 + 1.5x * 1.6) = 0.6(6x + 30) (12 + 2.4x) = 0.6(6x + 30) Reorder the terms: 12 + 2.4x = 0.6(30 + 6x) 12 + 2.4x = (30 * 0.6 + 6x * 0.6) 12 + 2.4x = (18 + 3.6x) Solving 12 + 2.4x = 18 + 3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6x' to each side of the equation. 12 + 2.4x + -3.6x = 18 + 3.6x + -3.6x Combine like terms: 2.4x + -3.6x = -1.2x 12 + -1.2x = 18 + 3.6x + -3.6x Combine like terms: 3.6x + -3.6x = 0.0 12 + -1.2x = 18 + 0.0 12 + -1.2x = 18 Add '-12' to each side of the equation. 12 + -12 + -1.2x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -1.2x = 18 + -12 -1.2x = 18 + -12 Combine like terms: 18 + -12 = 6 -1.2x = 6 Divide each side by '-1.2'. x = -5 Simplifying x = -5
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