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Simplifying 36(12 + -1x) = 2.4(1 + x) (12 * 36 + -1x * 36) = 2.4(1 + x) (432 + -36x) = 2.4(1 + x) 432 + -36x = (1 * 2.4 + x * 2.4) 432 + -36x = (2.4 + 2.4x) Solving 432 + -36x = 2.4 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 432 + -36x + -2.4x = 2.4 + 2.4x + -2.4x Combine like terms: -36x + -2.4x = -38.4x 432 + -38.4x = 2.4 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 432 + -38.4x = 2.4 + 0.0 432 + -38.4x = 2.4 Add '-432' to each side of the equation. 432 + -432 + -38.4x = 2.4 + -432 Combine like terms: 432 + -432 = 0 0 + -38.4x = 2.4 + -432 -38.4x = 2.4 + -432 Combine like terms: 2.4 + -432 = -429.6 -38.4x = -429.6 Divide each side by '-38.4'. x = 11.1875 Simplifying x = 11.1875
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