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Simplifying 2x + 10 = 4x + 2(x + 7) Reorder the terms: 10 + 2x = 4x + 2(x + 7) Reorder the terms: 10 + 2x = 4x + 2(7 + x) 10 + 2x = 4x + (7 * 2 + x * 2) 10 + 2x = 4x + (14 + 2x) Reorder the terms: 10 + 2x = 14 + 4x + 2x Combine like terms: 4x + 2x = 6x 10 + 2x = 14 + 6x Solving 10 + 2x = 14 + 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. 10 + 2x + -6x = 14 + 6x + -6x Combine like terms: 2x + -6x = -4x 10 + -4x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -4x = 14 + 0 10 + -4x = 14 Add '-10' to each side of the equation. 10 + -10 + -4x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 14 + -10 -4x = 14 + -10 Combine like terms: 14 + -10 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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