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Simplifying 9(4x + 8) = 1.4 + -1(x + 2) Reorder the terms: 9(8 + 4x) = 1.4 + -1(x + 2) (8 * 9 + 4x * 9) = 1.4 + -1(x + 2) (72 + 36x) = 1.4 + -1(x + 2) Reorder the terms: 72 + 36x = 1.4 + -1(2 + x) 72 + 36x = 1.4 + (2 * -1 + x * -1) 72 + 36x = 1.4 + (-2 + -1x) Combine like terms: 1.4 + -2 = -0.6 72 + 36x = -0.6 + -1x Solving 72 + 36x = -0.6 + -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. 72 + 36x + x = -0.6 + -1x + x Combine like terms: 36x + x = 37x 72 + 37x = -0.6 + -1x + x Combine like terms: -1x + x = 0 72 + 37x = -0.6 + 0 72 + 37x = -0.6 Add '-72' to each side of the equation. 72 + -72 + 37x = -0.6 + -72 Combine like terms: 72 + -72 = 0 0 + 37x = -0.6 + -72 37x = -0.6 + -72 Combine like terms: -0.6 + -72 = -72.6 37x = -72.6 Divide each side by '37'. x = -1.962162162 Simplifying x = -1.962162162
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