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Simplifying 4(3x + -5) + 6 = 4x + -14 + 18x Reorder the terms: 4(-5 + 3x) + 6 = 4x + -14 + 18x (-5 * 4 + 3x * 4) + 6 = 4x + -14 + 18x (-20 + 12x) + 6 = 4x + -14 + 18x Reorder the terms: -20 + 6 + 12x = 4x + -14 + 18x Combine like terms: -20 + 6 = -14 -14 + 12x = 4x + -14 + 18x Reorder the terms: -14 + 12x = -14 + 4x + 18x Combine like terms: 4x + 18x = 22x -14 + 12x = -14 + 22x Add '14' to each side of the equation. -14 + 14 + 12x = -14 + 14 + 22x Combine like terms: -14 + 14 = 0 0 + 12x = -14 + 14 + 22x 12x = -14 + 14 + 22x Combine like terms: -14 + 14 = 0 12x = 0 + 22x 12x = 22x Solving 12x = 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 12x + -22x = 22x + -22x Combine like terms: 12x + -22x = -10x -10x = 22x + -22x Combine like terms: 22x + -22x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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