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Simplifying 2(7 + x) = 6(x + 4) + -10 (7 * 2 + x * 2) = 6(x + 4) + -10 (14 + 2x) = 6(x + 4) + -10 Reorder the terms: 14 + 2x = 6(4 + x) + -10 14 + 2x = (4 * 6 + x * 6) + -10 14 + 2x = (24 + 6x) + -10 Reorder the terms: 14 + 2x = 24 + -10 + 6x Combine like terms: 24 + -10 = 14 14 + 2x = 14 + 6x Add '-14' to each side of the equation. 14 + -14 + 2x = 14 + -14 + 6x Combine like terms: 14 + -14 = 0 0 + 2x = 14 + -14 + 6x 2x = 14 + -14 + 6x Combine like terms: 14 + -14 = 0 2x = 0 + 6x 2x = 6x Solving 2x = 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. 2x + -6x = 6x + -6x Combine like terms: 2x + -6x = -4x -4x = 6x + -6x Combine like terms: 6x + -6x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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