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Simplifying 0.3(5x + 15) = 2.4 + -1(x + 3) Reorder the terms: 0.3(15 + 5x) = 2.4 + -1(x + 3) (15 * 0.3 + 5x * 0.3) = 2.4 + -1(x + 3) (4.5 + 1.5x) = 2.4 + -1(x + 3) Reorder the terms: 4.5 + 1.5x = 2.4 + -1(3 + x) 4.5 + 1.5x = 2.4 + (3 * -1 + x * -1) 4.5 + 1.5x = 2.4 + (-3 + -1x) Combine like terms: 2.4 + -3 = -0.6 4.5 + 1.5x = -0.6 + -1x Solving 4.5 + 1.5x = -0.6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4.5 + 1.5x + x = -0.6 + -1x + x Combine like terms: 1.5x + x = 2.5x 4.5 + 2.5x = -0.6 + -1x + x Combine like terms: -1x + x = 0 4.5 + 2.5x = -0.6 + 0 4.5 + 2.5x = -0.6 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 2.5x = -0.6 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 2.5x = -0.6 + -4.5 2.5x = -0.6 + -4.5 Combine like terms: -0.6 + -4.5 = -5.1 2.5x = -5.1 Divide each side by '2.5'. x = -2.04 Simplifying x = -2.04
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