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Simplifying 4(3x + -4) + -5 = 6x + 3 Reorder the terms: 4(-4 + 3x) + -5 = 6x + 3 (-4 * 4 + 3x * 4) + -5 = 6x + 3 (-16 + 12x) + -5 = 6x + 3 Reorder the terms: -16 + -5 + 12x = 6x + 3 Combine like terms: -16 + -5 = -21 -21 + 12x = 6x + 3 Reorder the terms: -21 + 12x = 3 + 6x Solving -21 + 12x = 3 + 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. -21 + 12x + -6x = 3 + 6x + -6x Combine like terms: 12x + -6x = 6x -21 + 6x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 6x = 3 + 0 -21 + 6x = 3 Add '21' to each side of the equation. -21 + 21 + 6x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = 3 + 21 6x = 3 + 21 Combine like terms: 3 + 21 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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