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Simplifying 10.7(3x + 6) = 1.1 + -1(x + 2) Reorder the terms: 10.7(6 + 3x) = 1.1 + -1(x + 2) (6 * 10.7 + 3x * 10.7) = 1.1 + -1(x + 2) (64.2 + 32.1x) = 1.1 + -1(x + 2) Reorder the terms: 64.2 + 32.1x = 1.1 + -1(2 + x) 64.2 + 32.1x = 1.1 + (2 * -1 + x * -1) 64.2 + 32.1x = 1.1 + (-2 + -1x) Combine like terms: 1.1 + -2 = -0.9 64.2 + 32.1x = -0.9 + -1x Solving 64.2 + 32.1x = -0.9 + -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. 64.2 + 32.1x + x = -0.9 + -1x + x Combine like terms: 32.1x + x = 33.1x 64.2 + 33.1x = -0.9 + -1x + x Combine like terms: -1x + x = 0 64.2 + 33.1x = -0.9 + 0 64.2 + 33.1x = -0.9 Add '-64.2' to each side of the equation. 64.2 + -64.2 + 33.1x = -0.9 + -64.2 Combine like terms: 64.2 + -64.2 = 0.0 0.0 + 33.1x = -0.9 + -64.2 33.1x = -0.9 + -64.2 Combine like terms: -0.9 + -64.2 = -65.1 33.1x = -65.1 Divide each side by '33.1'. x = -1.966767372 Simplifying x = -1.966767372
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