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Simplifying 0.7x + -0.4(19 + -5x) = -0.1(x + -8) 0.7x + (19 * -0.4 + -5x * -0.4) = -0.1(x + -8) 0.7x + (-7.6 + 2x) = -0.1(x + -8) Reorder the terms: -7.6 + 0.7x + 2x = -0.1(x + -8) Combine like terms: 0.7x + 2x = 2.7x -7.6 + 2.7x = -0.1(x + -8) Reorder the terms: -7.6 + 2.7x = -0.1(-8 + x) -7.6 + 2.7x = (-8 * -0.1 + x * -0.1) -7.6 + 2.7x = (0.8 + -0.1x) Solving -7.6 + 2.7x = 0.8 + -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. -7.6 + 2.7x + 0.1x = 0.8 + -0.1x + 0.1x Combine like terms: 2.7x + 0.1x = 2.8x -7.6 + 2.8x = 0.8 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -7.6 + 2.8x = 0.8 + 0.0 -7.6 + 2.8x = 0.8 Add '7.6' to each side of the equation. -7.6 + 7.6 + 2.8x = 0.8 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + 2.8x = 0.8 + 7.6 2.8x = 0.8 + 7.6 Combine like terms: 0.8 + 7.6 = 8.4 2.8x = 8.4 Divide each side by '2.8'. x = 3 Simplifying x = 3
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