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Simplifying -4x + -6 = -3(-4x + -5) + -3 Reorder the terms: -6 + -4x = -3(-4x + -5) + -3 Reorder the terms: -6 + -4x = -3(-5 + -4x) + -3 -6 + -4x = (-5 * -3 + -4x * -3) + -3 -6 + -4x = (15 + 12x) + -3 Reorder the terms: -6 + -4x = 15 + -3 + 12x Combine like terms: 15 + -3 = 12 -6 + -4x = 12 + 12x Solving -6 + -4x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + -4x + -12x = 12 + 12x + -12x Combine like terms: -4x + -12x = -16x -6 + -16x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -16x = 12 + 0 -6 + -16x = 12 Add '6' to each side of the equation. -6 + 6 + -16x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -16x = 12 + 6 -16x = 12 + 6 Combine like terms: 12 + 6 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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