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Simplifying 4x + 28 = 7x + 46 Reorder the terms: 28 + 4x = 7x + 46 Reorder the terms: 28 + 4x = 46 + 7x Solving 28 + 4x = 46 + 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. 28 + 4x + -7x = 46 + 7x + -7x Combine like terms: 4x + -7x = -3x 28 + -3x = 46 + 7x + -7x Combine like terms: 7x + -7x = 0 28 + -3x = 46 + 0 28 + -3x = 46 Add '-28' to each side of the equation. 28 + -28 + -3x = 46 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 46 + -28 -3x = 46 + -28 Combine like terms: 46 + -28 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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