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Simplifying 8x + 3(x + 2) = 7(2x + -3) Reorder the terms: 8x + 3(2 + x) = 7(2x + -3) 8x + (2 * 3 + x * 3) = 7(2x + -3) 8x + (6 + 3x) = 7(2x + -3) Reorder the terms: 6 + 8x + 3x = 7(2x + -3) Combine like terms: 8x + 3x = 11x 6 + 11x = 7(2x + -3) Reorder the terms: 6 + 11x = 7(-3 + 2x) 6 + 11x = (-3 * 7 + 2x * 7) 6 + 11x = (-21 + 14x) Solving 6 + 11x = -21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 6 + 11x + -14x = -21 + 14x + -14x Combine like terms: 11x + -14x = -3x 6 + -3x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -3x = -21 + 0 6 + -3x = -21 Add '-6' to each side of the equation. 6 + -6 + -3x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -21 + -6 -3x = -21 + -6 Combine like terms: -21 + -6 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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