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Simplifying 0.2x + -0.5(2x + 7) = -0.9(x + 4) Reorder the terms: 0.2x + -0.5(7 + 2x) = -0.9(x + 4) 0.2x + (7 * -0.5 + 2x * -0.5) = -0.9(x + 4) 0.2x + (-3.5 + -1x) = -0.9(x + 4) Reorder the terms: -3.5 + 0.2x + -1x = -0.9(x + 4) Combine like terms: 0.2x + -1x = -0.8x -3.5 + -0.8x = -0.9(x + 4) Reorder the terms: -3.5 + -0.8x = -0.9(4 + x) -3.5 + -0.8x = (4 * -0.9 + x * -0.9) -3.5 + -0.8x = (-3.6 + -0.9x) Solving -3.5 + -0.8x = -3.6 + -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. -3.5 + -0.8x + 0.9x = -3.6 + -0.9x + 0.9x Combine like terms: -0.8x + 0.9x = 0.1x -3.5 + 0.1x = -3.6 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -3.5 + 0.1x = -3.6 + 0.0 -3.5 + 0.1x = -3.6 Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.1x = -3.6 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.1x = -3.6 + 3.5 0.1x = -3.6 + 3.5 Combine like terms: -3.6 + 3.5 = -0.1 0.1x = -0.1 Divide each side by '0.1'. x = -1 Simplifying x = -1
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