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Simplifying 0.8(5x + 15) = 2.9 + -1(x + 3) Reorder the terms: 0.8(15 + 5x) = 2.9 + -1(x + 3) (15 * 0.8 + 5x * 0.8) = 2.9 + -1(x + 3) (12 + 4x) = 2.9 + -1(x + 3) Reorder the terms: 12 + 4x = 2.9 + -1(3 + x) 12 + 4x = 2.9 + (3 * -1 + x * -1) 12 + 4x = 2.9 + (-3 + -1x) Combine like terms: 2.9 + -3 = -0.1 12 + 4x = -0.1 + -1x Solving 12 + 4x = -0.1 + -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. 12 + 4x + x = -0.1 + -1x + x Combine like terms: 4x + x = 5x 12 + 5x = -0.1 + -1x + x Combine like terms: -1x + x = 0 12 + 5x = -0.1 + 0 12 + 5x = -0.1 Add '-12' to each side of the equation. 12 + -12 + 5x = -0.1 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -0.1 + -12 5x = -0.1 + -12 Combine like terms: -0.1 + -12 = -12.1 5x = -12.1 Divide each side by '5'. x = -2.42 Simplifying x = -2.42
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