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Simplifying 2x + -1(0.5x + 5) = -4 + -1(x + 0.3) Reorder the terms: 2x + -1(5 + 0.5x) = -4 + -1(x + 0.3) 2x + (5 * -1 + 0.5x * -1) = -4 + -1(x + 0.3) 2x + (-5 + -0.5x) = -4 + -1(x + 0.3) Reorder the terms: -5 + 2x + -0.5x = -4 + -1(x + 0.3) Combine like terms: 2x + -0.5x = 1.5x -5 + 1.5x = -4 + -1(x + 0.3) Reorder the terms: -5 + 1.5x = -4 + -1(0.3 + x) -5 + 1.5x = -4 + (0.3 * -1 + x * -1) -5 + 1.5x = -4 + (-0.3 + -1x) Combine like terms: -4 + -0.3 = -4.3 -5 + 1.5x = -4.3 + -1x Solving -5 + 1.5x = -4.3 + -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. -5 + 1.5x + x = -4.3 + -1x + x Combine like terms: 1.5x + x = 2.5x -5 + 2.5x = -4.3 + -1x + x Combine like terms: -1x + x = 0 -5 + 2.5x = -4.3 + 0 -5 + 2.5x = -4.3 Add '5' to each side of the equation. -5 + 5 + 2.5x = -4.3 + 5 Combine like terms: -5 + 5 = 0 0 + 2.5x = -4.3 + 5 2.5x = -4.3 + 5 Combine like terms: -4.3 + 5 = 0.7 2.5x = 0.7 Divide each side by '2.5'. x = 0.28 Simplifying x = 0.28
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