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Simplifying 0.7 + -0.4(9 + -2x) = 0.9(x + -4) 0.7 + (9 * -0.4 + -2x * -0.4) = 0.9(x + -4) 0.7 + (-3.6 + 0.8x) = 0.9(x + -4) Combine like terms: 0.7 + -3.6 = -2.9 -2.9 + 0.8x = 0.9(x + -4) Reorder the terms: -2.9 + 0.8x = 0.9(-4 + x) -2.9 + 0.8x = (-4 * 0.9 + x * 0.9) -2.9 + 0.8x = (-3.6 + 0.9x) Solving -2.9 + 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. -2.9 + 0.8x + -0.9x = -3.6 + 0.9x + -0.9x Combine like terms: 0.8x + -0.9x = -0.1x -2.9 + -0.1x = -3.6 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -2.9 + -0.1x = -3.6 + 0.0 -2.9 + -0.1x = -3.6 Add '2.9' to each side of the equation. -2.9 + 2.9 + -0.1x = -3.6 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + -0.1x = -3.6 + 2.9 -0.1x = -3.6 + 2.9 Combine like terms: -3.6 + 2.9 = -0.7 -0.1x = -0.7 Divide each side by '-0.1'. x = 7 Simplifying x = 7
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