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Simplifying 0.4(5x + 15) = 2.8 + -1(x + 3) Reorder the terms: 0.4(15 + 5x) = 2.8 + -1(x + 3) (15 * 0.4 + 5x * 0.4) = 2.8 + -1(x + 3) (6 + 2x) = 2.8 + -1(x + 3) Reorder the terms: 6 + 2x = 2.8 + -1(3 + x) 6 + 2x = 2.8 + (3 * -1 + x * -1) 6 + 2x = 2.8 + (-3 + -1x) Combine like terms: 2.8 + -3 = -0.2 6 + 2x = -0.2 + -1x Solving 6 + 2x = -0.2 + -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. 6 + 2x + x = -0.2 + -1x + x Combine like terms: 2x + x = 3x 6 + 3x = -0.2 + -1x + x Combine like terms: -1x + x = 0 6 + 3x = -0.2 + 0 6 + 3x = -0.2 Add '-6' to each side of the equation. 6 + -6 + 3x = -0.2 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -0.2 + -6 3x = -0.2 + -6 Combine like terms: -0.2 + -6 = -6.2 3x = -6.2 Divide each side by '3'. x = -2.066666667 Simplifying x = -2.066666667
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