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Simplifying 14 + -4x + 24 = 130 + -5x + -15 Reorder the terms: 14 + 24 + -4x = 130 + -5x + -15 Combine like terms: 14 + 24 = 38 38 + -4x = 130 + -5x + -15 Reorder the terms: 38 + -4x = 130 + -15 + -5x Combine like terms: 130 + -15 = 115 38 + -4x = 115 + -5x Solving 38 + -4x = 115 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 38 + -4x + 5x = 115 + -5x + 5x Combine like terms: -4x + 5x = 1x 38 + 1x = 115 + -5x + 5x Combine like terms: -5x + 5x = 0 38 + 1x = 115 + 0 38 + 1x = 115 Add '-38' to each side of the equation. 38 + -38 + 1x = 115 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = 115 + -38 1x = 115 + -38 Combine like terms: 115 + -38 = 77 1x = 77 Divide each side by '1'. x = 77 Simplifying x = 77
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