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Simplifying 3(4x + 6) + -5x = 4(x + -3) Reorder the terms: 3(6 + 4x) + -5x = 4(x + -3) (6 * 3 + 4x * 3) + -5x = 4(x + -3) (18 + 12x) + -5x = 4(x + -3) Combine like terms: 12x + -5x = 7x 18 + 7x = 4(x + -3) Reorder the terms: 18 + 7x = 4(-3 + x) 18 + 7x = (-3 * 4 + x * 4) 18 + 7x = (-12 + 4x) Solving 18 + 7x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 7x + -4x = -12 + 4x + -4x Combine like terms: 7x + -4x = 3x 18 + 3x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 3x = -12 + 0 18 + 3x = -12 Add '-18' to each side of the equation. 18 + -18 + 3x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = -12 + -18 3x = -12 + -18 Combine like terms: -12 + -18 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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