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Simplifying 4(x + 7) = 6x + 2 Reorder the terms: 4(7 + x) = 6x + 2 (7 * 4 + x * 4) = 6x + 2 (28 + 4x) = 6x + 2 Reorder the terms: 28 + 4x = 2 + 6x Solving 28 + 4x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + 4x + -6x = 2 + 6x + -6x Combine like terms: 4x + -6x = -2x 28 + -2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -2x = 2 + 0 28 + -2x = 2 Add '-28' to each side of the equation. 28 + -28 + -2x = 2 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = 2 + -28 -2x = 2 + -28 Combine like terms: 2 + -28 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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