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Simplifying 6(3x + 1) = 7(2x + -3) Reorder the terms: 6(1 + 3x) = 7(2x + -3) (1 * 6 + 3x * 6) = 7(2x + -3) (6 + 18x) = 7(2x + -3) Reorder the terms: 6 + 18x = 7(-3 + 2x) 6 + 18x = (-3 * 7 + 2x * 7) 6 + 18x = (-21 + 14x) Solving 6 + 18x = -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 + 18x + -14x = -21 + 14x + -14x Combine like terms: 18x + -14x = 4x 6 + 4x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + 4x = -21 + 0 6 + 4x = -21 Add '-6' to each side of the equation. 6 + -6 + 4x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -21 + -6 4x = -21 + -6 Combine like terms: -21 + -6 = -27 4x = -27 Divide each side by '4'. x = -6.75 Simplifying x = -6.75
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