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Simplifying 4x + 48 = 7x + 24 Reorder the terms: 48 + 4x = 7x + 24 Reorder the terms: 48 + 4x = 24 + 7x Solving 48 + 4x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 48 + 4x + -7x = 24 + 7x + -7x Combine like terms: 4x + -7x = -3x 48 + -3x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 48 + -3x = 24 + 0 48 + -3x = 24 Add '-48' to each side of the equation. 48 + -48 + -3x = 24 + -48 Combine like terms: 48 + -48 = 0 0 + -3x = 24 + -48 -3x = 24 + -48 Combine like terms: 24 + -48 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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