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Simplifying 10(x + -5) + -8 = 21x + -146 Reorder the terms: 10(-5 + x) + -8 = 21x + -146 (-5 * 10 + x * 10) + -8 = 21x + -146 (-50 + 10x) + -8 = 21x + -146 Reorder the terms: -50 + -8 + 10x = 21x + -146 Combine like terms: -50 + -8 = -58 -58 + 10x = 21x + -146 Reorder the terms: -58 + 10x = -146 + 21x Solving -58 + 10x = -146 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -58 + 10x + -21x = -146 + 21x + -21x Combine like terms: 10x + -21x = -11x -58 + -11x = -146 + 21x + -21x Combine like terms: 21x + -21x = 0 -58 + -11x = -146 + 0 -58 + -11x = -146 Add '58' to each side of the equation. -58 + 58 + -11x = -146 + 58 Combine like terms: -58 + 58 = 0 0 + -11x = -146 + 58 -11x = -146 + 58 Combine like terms: -146 + 58 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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