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Simplifying 7x + 10 = -4x + 54 Reorder the terms: 10 + 7x = -4x + 54 Reorder the terms: 10 + 7x = 54 + -4x Solving 10 + 7x = 54 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + 7x + 4x = 54 + -4x + 4x Combine like terms: 7x + 4x = 11x 10 + 11x = 54 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 11x = 54 + 0 10 + 11x = 54 Add '-10' to each side of the equation. 10 + -10 + 11x = 54 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 54 + -10 11x = 54 + -10 Combine like terms: 54 + -10 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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