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Simplifying 0.8(5x + 15) = 2.6(x + 3) Reorder the terms: 0.8(15 + 5x) = 2.6(x + 3) (15 * 0.8 + 5x * 0.8) = 2.6(x + 3) (12 + 4x) = 2.6(x + 3) Reorder the terms: 12 + 4x = 2.6(3 + x) 12 + 4x = (3 * 2.6 + x * 2.6) 12 + 4x = (7.8 + 2.6x) Solving 12 + 4x = 7.8 + 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. 12 + 4x + -2.6x = 7.8 + 2.6x + -2.6x Combine like terms: 4x + -2.6x = 1.4x 12 + 1.4x = 7.8 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 12 + 1.4x = 7.8 + 0.0 12 + 1.4x = 7.8 Add '-12' to each side of the equation. 12 + -12 + 1.4x = 7.8 + -12 Combine like terms: 12 + -12 = 0 0 + 1.4x = 7.8 + -12 1.4x = 7.8 + -12 Combine like terms: 7.8 + -12 = -4.2 1.4x = -4.2 Divide each side by '1.4'. x = -3 Simplifying x = -3
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