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Simplifying 76 + -4(34x + -23) = 3x + -4(24 + -54) Reorder the terms: 76 + -4(-23 + 34x) = 3x + -4(24 + -54) 76 + (-23 * -4 + 34x * -4) = 3x + -4(24 + -54) 76 + (92 + -136x) = 3x + -4(24 + -54) Combine like terms: 76 + 92 = 168 168 + -136x = 3x + -4(24 + -54) Combine like terms: 24 + -54 = -30 168 + -136x = 3x + -4(-30) Multiply -4 * -30 168 + -136x = 3x + 120 Reorder the terms: 168 + -136x = 120 + 3x Solving 168 + -136x = 120 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 168 + -136x + -3x = 120 + 3x + -3x Combine like terms: -136x + -3x = -139x 168 + -139x = 120 + 3x + -3x Combine like terms: 3x + -3x = 0 168 + -139x = 120 + 0 168 + -139x = 120 Add '-168' to each side of the equation. 168 + -168 + -139x = 120 + -168 Combine like terms: 168 + -168 = 0 0 + -139x = 120 + -168 -139x = 120 + -168 Combine like terms: 120 + -168 = -48 -139x = -48 Divide each side by '-139'. x = 0.345323741 Simplifying x = 0.345323741
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