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Simplifying 0.2x + -0.5(2x + 3) = -0.9(x + 3) Reorder the terms: 0.2x + -0.5(3 + 2x) = -0.9(x + 3) 0.2x + (3 * -0.5 + 2x * -0.5) = -0.9(x + 3) 0.2x + (-1.5 + -1x) = -0.9(x + 3) Reorder the terms: -1.5 + 0.2x + -1x = -0.9(x + 3) Combine like terms: 0.2x + -1x = -0.8x -1.5 + -0.8x = -0.9(x + 3) Reorder the terms: -1.5 + -0.8x = -0.9(3 + x) -1.5 + -0.8x = (3 * -0.9 + x * -0.9) -1.5 + -0.8x = (-2.7 + -0.9x) Solving -1.5 + -0.8x = -2.7 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. -1.5 + -0.8x + 0.9x = -2.7 + -0.9x + 0.9x Combine like terms: -0.8x + 0.9x = 0.1x -1.5 + 0.1x = -2.7 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -1.5 + 0.1x = -2.7 + 0.0 -1.5 + 0.1x = -2.7 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.1x = -2.7 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.1x = -2.7 + 1.5 0.1x = -2.7 + 1.5 Combine like terms: -2.7 + 1.5 = -1.2 0.1x = -1.2 Divide each side by '0.1'. x = -12 Simplifying x = -12
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