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Simplifying 0.9(7x + 14) = 1.1 + -1(x + 2) Reorder the terms: 0.9(14 + 7x) = 1.1 + -1(x + 2) (14 * 0.9 + 7x * 0.9) = 1.1 + -1(x + 2) (12.6 + 6.3x) = 1.1 + -1(x + 2) Reorder the terms: 12.6 + 6.3x = 1.1 + -1(2 + x) 12.6 + 6.3x = 1.1 + (2 * -1 + x * -1) 12.6 + 6.3x = 1.1 + (-2 + -1x) Combine like terms: 1.1 + -2 = -0.9 12.6 + 6.3x = -0.9 + -1x Solving 12.6 + 6.3x = -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. 12.6 + 6.3x + x = -0.9 + -1x + x Combine like terms: 6.3x + x = 7.3x 12.6 + 7.3x = -0.9 + -1x + x Combine like terms: -1x + x = 0 12.6 + 7.3x = -0.9 + 0 12.6 + 7.3x = -0.9 Add '-12.6' to each side of the equation. 12.6 + -12.6 + 7.3x = -0.9 + -12.6 Combine like terms: 12.6 + -12.6 = 0.0 0.0 + 7.3x = -0.9 + -12.6 7.3x = -0.9 + -12.6 Combine like terms: -0.9 + -12.6 = -13.5 7.3x = -13.5 Divide each side by '7.3'. x = -1.849315068 Simplifying x = -1.849315068
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