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Simplifying 0.7x + -0.9(9 + -4x) = -0.1(x + -7) 0.7x + (9 * -0.9 + -4x * -0.9) = -0.1(x + -7) 0.7x + (-8.1 + 3.6x) = -0.1(x + -7) Reorder the terms: -8.1 + 0.7x + 3.6x = -0.1(x + -7) Combine like terms: 0.7x + 3.6x = 4.3x -8.1 + 4.3x = -0.1(x + -7) Reorder the terms: -8.1 + 4.3x = -0.1(-7 + x) -8.1 + 4.3x = (-7 * -0.1 + x * -0.1) -8.1 + 4.3x = (0.7 + -0.1x) Solving -8.1 + 4.3x = 0.7 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -8.1 + 4.3x + 0.1x = 0.7 + -0.1x + 0.1x Combine like terms: 4.3x + 0.1x = 4.4x -8.1 + 4.4x = 0.7 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -8.1 + 4.4x = 0.7 + 0.0 -8.1 + 4.4x = 0.7 Add '8.1' to each side of the equation. -8.1 + 8.1 + 4.4x = 0.7 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + 4.4x = 0.7 + 8.1 4.4x = 0.7 + 8.1 Combine like terms: 0.7 + 8.1 = 8.8 4.4x = 8.8 Divide each side by '4.4'. x = 2 Simplifying x = 2
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