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Simplifying 0.7(6x + 5) = 1.1 + -1(x + 6) Reorder the terms: 0.7(5 + 6x) = 1.1 + -1(x + 6) (5 * 0.7 + 6x * 0.7) = 1.1 + -1(x + 6) (3.5 + 4.2x) = 1.1 + -1(x + 6) Reorder the terms: 3.5 + 4.2x = 1.1 + -1(6 + x) 3.5 + 4.2x = 1.1 + (6 * -1 + x * -1) 3.5 + 4.2x = 1.1 + (-6 + -1x) Combine like terms: 1.1 + -6 = -4.9 3.5 + 4.2x = -4.9 + -1x Solving 3.5 + 4.2x = -4.9 + -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. 3.5 + 4.2x + x = -4.9 + -1x + x Combine like terms: 4.2x + x = 5.2x 3.5 + 5.2x = -4.9 + -1x + x Combine like terms: -1x + x = 0 3.5 + 5.2x = -4.9 + 0 3.5 + 5.2x = -4.9 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 5.2x = -4.9 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 5.2x = -4.9 + -3.5 5.2x = -4.9 + -3.5 Combine like terms: -4.9 + -3.5 = -8.4 5.2x = -8.4 Divide each side by '5.2'. x = -1.615384615 Simplifying x = -1.615384615
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