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Simplifying 3x + 10 = 7x + 54 Reorder the terms: 10 + 3x = 7x + 54 Reorder the terms: 10 + 3x = 54 + 7x Solving 10 + 3x = 54 + 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. 10 + 3x + -7x = 54 + 7x + -7x Combine like terms: 3x + -7x = -4x 10 + -4x = 54 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -4x = 54 + 0 10 + -4x = 54 Add '-10' to each side of the equation. 10 + -10 + -4x = 54 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 54 + -10 -4x = 54 + -10 Combine like terms: 54 + -10 = 44 -4x = 44 Divide each side by '-4'. x = -11 Simplifying x = -11
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