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Simplifying -4(34x + -23) = 3x + -48(4x + -5) Reorder the terms: -4(-23 + 34x) = 3x + -48(4x + -5) (-23 * -4 + 34x * -4) = 3x + -48(4x + -5) (92 + -136x) = 3x + -48(4x + -5) Reorder the terms: 92 + -136x = 3x + -48(-5 + 4x) 92 + -136x = 3x + (-5 * -48 + 4x * -48) 92 + -136x = 3x + (240 + -192x) Reorder the terms: 92 + -136x = 240 + 3x + -192x Combine like terms: 3x + -192x = -189x 92 + -136x = 240 + -189x Solving 92 + -136x = 240 + -189x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '189x' to each side of the equation. 92 + -136x + 189x = 240 + -189x + 189x Combine like terms: -136x + 189x = 53x 92 + 53x = 240 + -189x + 189x Combine like terms: -189x + 189x = 0 92 + 53x = 240 + 0 92 + 53x = 240 Add '-92' to each side of the equation. 92 + -92 + 53x = 240 + -92 Combine like terms: 92 + -92 = 0 0 + 53x = 240 + -92 53x = 240 + -92 Combine like terms: 240 + -92 = 148 53x = 148 Divide each side by '53'. x = 2.79245283 Simplifying x = 2.79245283
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