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Simplifying 0.07(3x + 6) = 1.1 + -1(x + 2) Reorder the terms: 0.07(6 + 3x) = 1.1 + -1(x + 2) (6 * 0.07 + 3x * 0.07) = 1.1 + -1(x + 2) (0.42 + 0.21x) = 1.1 + -1(x + 2) Reorder the terms: 0.42 + 0.21x = 1.1 + -1(2 + x) 0.42 + 0.21x = 1.1 + (2 * -1 + x * -1) 0.42 + 0.21x = 1.1 + (-2 + -1x) Combine like terms: 1.1 + -2 = -0.9 0.42 + 0.21x = -0.9 + -1x Solving 0.42 + 0.21x = -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. 0.42 + 0.21x + x = -0.9 + -1x + x Combine like terms: 0.21x + x = 1.21x 0.42 + 1.21x = -0.9 + -1x + x Combine like terms: -1x + x = 0 0.42 + 1.21x = -0.9 + 0 0.42 + 1.21x = -0.9 Add '-0.42' to each side of the equation. 0.42 + -0.42 + 1.21x = -0.9 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 0.00 + 1.21x = -0.9 + -0.42 1.21x = -0.9 + -0.42 Combine like terms: -0.9 + -0.42 = -1.32 1.21x = -1.32 Divide each side by '1.21'. x = -1.090909091 Simplifying x = -1.090909091
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