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Simplifying 6 + -4(34x + 23) = 3x + -4(24x + -54) Reorder the terms: 6 + -4(23 + 34x) = 3x + -4(24x + -54) 6 + (23 * -4 + 34x * -4) = 3x + -4(24x + -54) 6 + (-92 + -136x) = 3x + -4(24x + -54) Combine like terms: 6 + -92 = -86 -86 + -136x = 3x + -4(24x + -54) Reorder the terms: -86 + -136x = 3x + -4(-54 + 24x) -86 + -136x = 3x + (-54 * -4 + 24x * -4) -86 + -136x = 3x + (216 + -96x) Reorder the terms: -86 + -136x = 216 + 3x + -96x Combine like terms: 3x + -96x = -93x -86 + -136x = 216 + -93x Solving -86 + -136x = 216 + -93x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '93x' to each side of the equation. -86 + -136x + 93x = 216 + -93x + 93x Combine like terms: -136x + 93x = -43x -86 + -43x = 216 + -93x + 93x Combine like terms: -93x + 93x = 0 -86 + -43x = 216 + 0 -86 + -43x = 216 Add '86' to each side of the equation. -86 + 86 + -43x = 216 + 86 Combine like terms: -86 + 86 = 0 0 + -43x = 216 + 86 -43x = 216 + 86 Combine like terms: 216 + 86 = 302 -43x = 302 Divide each side by '-43'. x = -7.023255814 Simplifying x = -7.023255814
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