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Simplifying 0.7(6x + 4) = 1.1 + -1(x + 5) Reorder the terms: 0.7(4 + 6x) = 1.1 + -1(x + 5) (4 * 0.7 + 6x * 0.7) = 1.1 + -1(x + 5) (2.8 + 4.2x) = 1.1 + -1(x + 5) Reorder the terms: 2.8 + 4.2x = 1.1 + -1(5 + x) 2.8 + 4.2x = 1.1 + (5 * -1 + x * -1) 2.8 + 4.2x = 1.1 + (-5 + -1x) Combine like terms: 1.1 + -5 = -3.9 2.8 + 4.2x = -3.9 + -1x Solving 2.8 + 4.2x = -3.9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2.8 + 4.2x + x = -3.9 + -1x + x Combine like terms: 4.2x + x = 5.2x 2.8 + 5.2x = -3.9 + -1x + x Combine like terms: -1x + x = 0 2.8 + 5.2x = -3.9 + 0 2.8 + 5.2x = -3.9 Add '-2.8' to each side of the equation. 2.8 + -2.8 + 5.2x = -3.9 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 5.2x = -3.9 + -2.8 5.2x = -3.9 + -2.8 Combine like terms: -3.9 + -2.8 = -6.7 5.2x = -6.7 Divide each side by '5.2'. x = -1.288461538 Simplifying x = -1.288461538
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