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Simplifying [4x + 48] = [-10x + -78] Reorder the terms: [48 + 4x] = [-10x + -78] Remove brackets around [48 + 4x] 48 + 4x = [-10x + -78] Reorder the terms: 48 + 4x = [-78 + -10x] Remove brackets around [-78 + -10x] 48 + 4x = -78 + -10x Solving 48 + 4x = -78 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 48 + 4x + 10x = -78 + -10x + 10x Combine like terms: 4x + 10x = 14x 48 + 14x = -78 + -10x + 10x Combine like terms: -10x + 10x = 0 48 + 14x = -78 + 0 48 + 14x = -78 Add '-48' to each side of the equation. 48 + -48 + 14x = -78 + -48 Combine like terms: 48 + -48 = 0 0 + 14x = -78 + -48 14x = -78 + -48 Combine like terms: -78 + -48 = -126 14x = -126 Divide each side by '14'. x = -9 Simplifying x = -9
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