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Simplifying 0.3x + -0.5(2x + 5) = -0.8(x + 4) Reorder the terms: 0.3x + -0.5(5 + 2x) = -0.8(x + 4) 0.3x + (5 * -0.5 + 2x * -0.5) = -0.8(x + 4) 0.3x + (-2.5 + -1x) = -0.8(x + 4) Reorder the terms: -2.5 + 0.3x + -1x = -0.8(x + 4) Combine like terms: 0.3x + -1x = -0.7x -2.5 + -0.7x = -0.8(x + 4) Reorder the terms: -2.5 + -0.7x = -0.8(4 + x) -2.5 + -0.7x = (4 * -0.8 + x * -0.8) -2.5 + -0.7x = (-3.2 + -0.8x) Solving -2.5 + -0.7x = -3.2 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. -2.5 + -0.7x + 0.8x = -3.2 + -0.8x + 0.8x Combine like terms: -0.7x + 0.8x = 0.1x -2.5 + 0.1x = -3.2 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -2.5 + 0.1x = -3.2 + 0.0 -2.5 + 0.1x = -3.2 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.1x = -3.2 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.1x = -3.2 + 2.5 0.1x = -3.2 + 2.5 Combine like terms: -3.2 + 2.5 = -0.7 0.1x = -0.7 Divide each side by '0.1'. x = -7 Simplifying x = -7
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