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Simplifying -4(x + 3) + 6 = (-3x + -5) + -7 Reorder the terms: -4(3 + x) + 6 = (-3x + -5) + -7 (3 * -4 + x * -4) + 6 = (-3x + -5) + -7 (-12 + -4x) + 6 = (-3x + -5) + -7 Reorder the terms: -12 + 6 + -4x = (-3x + -5) + -7 Combine like terms: -12 + 6 = -6 -6 + -4x = (-3x + -5) + -7 Reorder the terms: -6 + -4x = (-5 + -3x) + -7 Remove parenthesis around (-5 + -3x) -6 + -4x = -5 + -3x + -7 Reorder the terms: -6 + -4x = -5 + -7 + -3x Combine like terms: -5 + -7 = -12 -6 + -4x = -12 + -3x Solving -6 + -4x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + -4x + 3x = -12 + -3x + 3x Combine like terms: -4x + 3x = -1x -6 + -1x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -1x = -12 + 0 -6 + -1x = -12 Add '6' to each side of the equation. -6 + 6 + -1x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -12 + 6 -1x = -12 + 6 Combine like terms: -12 + 6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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