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Simplifying 2x + 7 + -6x = 2(x + 10) Reorder the terms: 7 + 2x + -6x = 2(x + 10) Combine like terms: 2x + -6x = -4x 7 + -4x = 2(x + 10) Reorder the terms: 7 + -4x = 2(10 + x) 7 + -4x = (10 * 2 + x * 2) 7 + -4x = (20 + 2x) Solving 7 + -4x = 20 + 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. 7 + -4x + -2x = 20 + 2x + -2x Combine like terms: -4x + -2x = -6x 7 + -6x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -6x = 20 + 0 7 + -6x = 20 Add '-7' to each side of the equation. 7 + -7 + -6x = 20 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 20 + -7 -6x = 20 + -7 Combine like terms: 20 + -7 = 13 -6x = 13 Divide each side by '-6'. x = -2.166666667 Simplifying x = -2.166666667
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