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Simplifying 0.5(5x + 15) = 2.1 + -1(x + 3) Reorder the terms: 0.5(15 + 5x) = 2.1 + -1(x + 3) (15 * 0.5 + 5x * 0.5) = 2.1 + -1(x + 3) (7.5 + 2.5x) = 2.1 + -1(x + 3) Reorder the terms: 7.5 + 2.5x = 2.1 + -1(3 + x) 7.5 + 2.5x = 2.1 + (3 * -1 + x * -1) 7.5 + 2.5x = 2.1 + (-3 + -1x) Combine like terms: 2.1 + -3 = -0.9 7.5 + 2.5x = -0.9 + -1x Solving 7.5 + 2.5x = -0.9 + -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. 7.5 + 2.5x + x = -0.9 + -1x + x Combine like terms: 2.5x + x = 3.5x 7.5 + 3.5x = -0.9 + -1x + x Combine like terms: -1x + x = 0 7.5 + 3.5x = -0.9 + 0 7.5 + 3.5x = -0.9 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 3.5x = -0.9 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 3.5x = -0.9 + -7.5 3.5x = -0.9 + -7.5 Combine like terms: -0.9 + -7.5 = -8.4 3.5x = -8.4 Divide each side by '3.5'. x = -2.4 Simplifying x = -2.4
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