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Simplifying 2(6x + 3) + -4x = 5(x + -3) Reorder the terms: 2(3 + 6x) + -4x = 5(x + -3) (3 * 2 + 6x * 2) + -4x = 5(x + -3) (6 + 12x) + -4x = 5(x + -3) Combine like terms: 12x + -4x = 8x 6 + 8x = 5(x + -3) Reorder the terms: 6 + 8x = 5(-3 + x) 6 + 8x = (-3 * 5 + x * 5) 6 + 8x = (-15 + 5x) Solving 6 + 8x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 8x + -5x = -15 + 5x + -5x Combine like terms: 8x + -5x = 3x 6 + 3x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 3x = -15 + 0 6 + 3x = -15 Add '-6' to each side of the equation. 6 + -6 + 3x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -15 + -6 3x = -15 + -6 Combine like terms: -15 + -6 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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