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Simplifying (7 + 3x) + -6(2x + -1) = 2x + 6 Remove parenthesis around (7 + 3x) 7 + 3x + -6(2x + -1) = 2x + 6 Reorder the terms: 7 + 3x + -6(-1 + 2x) = 2x + 6 7 + 3x + (-1 * -6 + 2x * -6) = 2x + 6 7 + 3x + (6 + -12x) = 2x + 6 Reorder the terms: 7 + 6 + 3x + -12x = 2x + 6 Combine like terms: 7 + 6 = 13 13 + 3x + -12x = 2x + 6 Combine like terms: 3x + -12x = -9x 13 + -9x = 2x + 6 Reorder the terms: 13 + -9x = 6 + 2x Solving 13 + -9x = 6 + 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. 13 + -9x + -2x = 6 + 2x + -2x Combine like terms: -9x + -2x = -11x 13 + -11x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -11x = 6 + 0 13 + -11x = 6 Add '-13' to each side of the equation. 13 + -13 + -11x = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -11x = 6 + -13 -11x = 6 + -13 Combine like terms: 6 + -13 = -7 -11x = -7 Divide each side by '-11'. x = 0.6363636364 Simplifying x = 0.6363636364
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