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Simplifying 40(10x + 3) = 8(10x + 12) * 27 Reorder the terms: 40(3 + 10x) = 8(10x + 12) * 27 (3 * 40 + 10x * 40) = 8(10x + 12) * 27 (120 + 400x) = 8(10x + 12) * 27 Reorder the terms: 120 + 400x = 8(12 + 10x) * 27 Reorder the terms for easier multiplication: 120 + 400x = 8 * 27(12 + 10x) Multiply 8 * 27 120 + 400x = 216(12 + 10x) 120 + 400x = (12 * 216 + 10x * 216) 120 + 400x = (2592 + 2160x) Solving 120 + 400x = 2592 + 2160x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2160x' to each side of the equation. 120 + 400x + -2160x = 2592 + 2160x + -2160x Combine like terms: 400x + -2160x = -1760x 120 + -1760x = 2592 + 2160x + -2160x Combine like terms: 2160x + -2160x = 0 120 + -1760x = 2592 + 0 120 + -1760x = 2592 Add '-120' to each side of the equation. 120 + -120 + -1760x = 2592 + -120 Combine like terms: 120 + -120 = 0 0 + -1760x = 2592 + -120 -1760x = 2592 + -120 Combine like terms: 2592 + -120 = 2472 -1760x = 2472 Divide each side by '-1760'. x = -1.404545455 Simplifying x = -1.404545455
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