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Simplifying 7 + -6(2x + -3) = 2x + 7 Reorder the terms: 7 + -6(-3 + 2x) = 2x + 7 7 + (-3 * -6 + 2x * -6) = 2x + 7 7 + (18 + -12x) = 2x + 7 Combine like terms: 7 + 18 = 25 25 + -12x = 2x + 7 Reorder the terms: 25 + -12x = 7 + 2x Solving 25 + -12x = 7 + 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. 25 + -12x + -2x = 7 + 2x + -2x Combine like terms: -12x + -2x = -14x 25 + -14x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + -14x = 7 + 0 25 + -14x = 7 Add '-25' to each side of the equation. 25 + -25 + -14x = 7 + -25 Combine like terms: 25 + -25 = 0 0 + -14x = 7 + -25 -14x = 7 + -25 Combine like terms: 7 + -25 = -18 -14x = -18 Divide each side by '-14'. x = 1.285714286 Simplifying x = 1.285714286
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