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Simplifying 0.3x + -0.5(2x + 3) = -0.8(x + 2) Reorder the terms: 0.3x + -0.5(3 + 2x) = -0.8(x + 2) 0.3x + (3 * -0.5 + 2x * -0.5) = -0.8(x + 2) 0.3x + (-1.5 + -1x) = -0.8(x + 2) Reorder the terms: -1.5 + 0.3x + -1x = -0.8(x + 2) Combine like terms: 0.3x + -1x = -0.7x -1.5 + -0.7x = -0.8(x + 2) Reorder the terms: -1.5 + -0.7x = -0.8(2 + x) -1.5 + -0.7x = (2 * -0.8 + x * -0.8) -1.5 + -0.7x = (-1.6 + -0.8x) Solving -1.5 + -0.7x = -1.6 + -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. -1.5 + -0.7x + 0.8x = -1.6 + -0.8x + 0.8x Combine like terms: -0.7x + 0.8x = 0.1x -1.5 + 0.1x = -1.6 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -1.5 + 0.1x = -1.6 + 0.0 -1.5 + 0.1x = -1.6 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.1x = -1.6 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.1x = -1.6 + 1.5 0.1x = -1.6 + 1.5 Combine like terms: -1.6 + 1.5 = -0.1 0.1x = -0.1 Divide each side by '0.1'. x = -1 Simplifying x = -1
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