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Simplifying 0.7(4x + 8) = -1.3(x + 2) Reorder the terms: 0.7(8 + 4x) = -1.3(x + 2) (8 * 0.7 + 4x * 0.7) = -1.3(x + 2) (5.6 + 2.8x) = -1.3(x + 2) Reorder the terms: 5.6 + 2.8x = -1.3(2 + x) 5.6 + 2.8x = (2 * -1.3 + x * -1.3) 5.6 + 2.8x = (-2.6 + -1.3x) Solving 5.6 + 2.8x = -2.6 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 5.6 + 2.8x + 1.3x = -2.6 + -1.3x + 1.3x Combine like terms: 2.8x + 1.3x = 4.1x 5.6 + 4.1x = -2.6 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 5.6 + 4.1x = -2.6 + 0.0 5.6 + 4.1x = -2.6 Add '-5.6' to each side of the equation. 5.6 + -5.6 + 4.1x = -2.6 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 4.1x = -2.6 + -5.6 4.1x = -2.6 + -5.6 Combine like terms: -2.6 + -5.6 = -8.2 4.1x = -8.2 Divide each side by '4.1'. x = -2 Simplifying x = -2
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