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Simplifying -4(x + 3) + 6 = -1(3x + -5) + -7 Reorder the terms: -4(3 + x) + 6 = -1(3x + -5) + -7 (3 * -4 + x * -4) + 6 = -1(3x + -5) + -7 (-12 + -4x) + 6 = -1(3x + -5) + -7 Reorder the terms: -12 + 6 + -4x = -1(3x + -5) + -7 Combine like terms: -12 + 6 = -6 -6 + -4x = -1(3x + -5) + -7 Reorder the terms: -6 + -4x = -1(-5 + 3x) + -7 -6 + -4x = (-5 * -1 + 3x * -1) + -7 -6 + -4x = (5 + -3x) + -7 Reorder the terms: -6 + -4x = 5 + -7 + -3x Combine like terms: 5 + -7 = -2 -6 + -4x = -2 + -3x Solving -6 + -4x = -2 + -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 = -2 + -3x + 3x Combine like terms: -4x + 3x = -1x -6 + -1x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -1x = -2 + 0 -6 + -1x = -2 Add '6' to each side of the equation. -6 + 6 + -1x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -2 + 6 -1x = -2 + 6 Combine like terms: -2 + 6 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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