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Simplifying 5x + 2 = (7 + -2x) * 4 Reorder the terms: 2 + 5x = (7 + -2x) * 4 Reorder the terms for easier multiplication: 2 + 5x = 4(7 + -2x) 2 + 5x = (7 * 4 + -2x * 4) 2 + 5x = (28 + -8x) Solving 2 + 5x = 28 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2 + 5x + 8x = 28 + -8x + 8x Combine like terms: 5x + 8x = 13x 2 + 13x = 28 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 13x = 28 + 0 2 + 13x = 28 Add '-2' to each side of the equation. 2 + -2 + 13x = 28 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 28 + -2 13x = 28 + -2 Combine like terms: 28 + -2 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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