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Simplifying 4(2x + -3) + 4x = 6(x + 12) Reorder the terms: 4(-3 + 2x) + 4x = 6(x + 12) (-3 * 4 + 2x * 4) + 4x = 6(x + 12) (-12 + 8x) + 4x = 6(x + 12) Combine like terms: 8x + 4x = 12x -12 + 12x = 6(x + 12) Reorder the terms: -12 + 12x = 6(12 + x) -12 + 12x = (12 * 6 + x * 6) -12 + 12x = (72 + 6x) Solving -12 + 12x = 72 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 12x + -6x = 72 + 6x + -6x Combine like terms: 12x + -6x = 6x -12 + 6x = 72 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 6x = 72 + 0 -12 + 6x = 72 Add '12' to each side of the equation. -12 + 12 + 6x = 72 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 72 + 12 6x = 72 + 12 Combine like terms: 72 + 12 = 84 6x = 84 Divide each side by '6'. x = 14 Simplifying x = 14
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