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Simplifying 4(x + 133) = 10(x + -5) Reorder the terms: 4(133 + x) = 10(x + -5) (133 * 4 + x * 4) = 10(x + -5) (532 + 4x) = 10(x + -5) Reorder the terms: 532 + 4x = 10(-5 + x) 532 + 4x = (-5 * 10 + x * 10) 532 + 4x = (-50 + 10x) Solving 532 + 4x = -50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 532 + 4x + -10x = -50 + 10x + -10x Combine like terms: 4x + -10x = -6x 532 + -6x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 532 + -6x = -50 + 0 532 + -6x = -50 Add '-532' to each side of the equation. 532 + -532 + -6x = -50 + -532 Combine like terms: 532 + -532 = 0 0 + -6x = -50 + -532 -6x = -50 + -532 Combine like terms: -50 + -532 = -582 -6x = -582 Divide each side by '-6'. x = 97 Simplifying x = 97
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