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Simplifying 3x + -7x + 52 = 2x + 28 Reorder the terms: 52 + 3x + -7x = 2x + 28 Combine like terms: 3x + -7x = -4x 52 + -4x = 2x + 28 Reorder the terms: 52 + -4x = 28 + 2x Solving 52 + -4x = 28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 52 + -4x + -2x = 28 + 2x + -2x Combine like terms: -4x + -2x = -6x 52 + -6x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 52 + -6x = 28 + 0 52 + -6x = 28 Add '-52' to each side of the equation. 52 + -52 + -6x = 28 + -52 Combine like terms: 52 + -52 = 0 0 + -6x = 28 + -52 -6x = 28 + -52 Combine like terms: 28 + -52 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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