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Simplifying 8(2x + 5 + 3x + 4 + 4x) * 5 = 2160 Reorder the terms: 8(5 + 4 + 2x + 3x + 4x) * 5 = 2160 Combine like terms: 5 + 4 = 9 8(9 + 2x + 3x + 4x) * 5 = 2160 Combine like terms: 2x + 3x = 5x 8(9 + 5x + 4x) * 5 = 2160 Combine like terms: 5x + 4x = 9x 8(9 + 9x) * 5 = 2160 Reorder the terms for easier multiplication: 8 * 5(9 + 9x) = 2160 Multiply 8 * 5 40(9 + 9x) = 2160 (9 * 40 + 9x * 40) = 2160 (360 + 360x) = 2160 Solving 360 + 360x = 2160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-360' to each side of the equation. 360 + -360 + 360x = 2160 + -360 Combine like terms: 360 + -360 = 0 0 + 360x = 2160 + -360 360x = 2160 + -360 Combine like terms: 2160 + -360 = 1800 360x = 1800 Divide each side by '360'. x = 5 Simplifying x = 5
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