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Simplifying 6x + 4(27) = 450(x + 27) Multiply 4 * 27 6x + 108 = 450(x + 27) Reorder the terms: 108 + 6x = 450(x + 27) Reorder the terms: 108 + 6x = 450(27 + x) 108 + 6x = (27 * 450 + x * 450) 108 + 6x = (12150 + 450x) Solving 108 + 6x = 12150 + 450x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-450x' to each side of the equation. 108 + 6x + -450x = 12150 + 450x + -450x Combine like terms: 6x + -450x = -444x 108 + -444x = 12150 + 450x + -450x Combine like terms: 450x + -450x = 0 108 + -444x = 12150 + 0 108 + -444x = 12150 Add '-108' to each side of the equation. 108 + -108 + -444x = 12150 + -108 Combine like terms: 108 + -108 = 0 0 + -444x = 12150 + -108 -444x = 12150 + -108 Combine like terms: 12150 + -108 = 12042 -444x = 12042 Divide each side by '-444'. x = -27.12162162 Simplifying x = -27.12162162
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