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Simplifying 3x + 14 + -4 + 1000x = 65x(4 + -83) + 512 Reorder the terms: 14 + -4 + 3x + 1000x = 65x(4 + -83) + 512 Combine like terms: 14 + -4 = 10 10 + 3x + 1000x = 65x(4 + -83) + 512 Combine like terms: 3x + 1000x = 1003x 10 + 1003x = 65x(4 + -83) + 512 Combine like terms: 4 + -83 = -79 10 + 1003x = 65x(-79) + 512 Reorder the terms for easier multiplication: 10 + 1003x = 65 * -79x + 512 Multiply 65 * -79 10 + 1003x = -5135x + 512 Reorder the terms: 10 + 1003x = 512 + -5135x Solving 10 + 1003x = 512 + -5135x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5135x' to each side of the equation. 10 + 1003x + 5135x = 512 + -5135x + 5135x Combine like terms: 1003x + 5135x = 6138x 10 + 6138x = 512 + -5135x + 5135x Combine like terms: -5135x + 5135x = 0 10 + 6138x = 512 + 0 10 + 6138x = 512 Add '-10' to each side of the equation. 10 + -10 + 6138x = 512 + -10 Combine like terms: 10 + -10 = 0 0 + 6138x = 512 + -10 6138x = 512 + -10 Combine like terms: 512 + -10 = 502 6138x = 502 Divide each side by '6138'. x = 0.08178559791 Simplifying x = 0.08178559791
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