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Simplifying -6x + -16(x + 6) = -7(3x + 3) Reorder the terms: -6x + -16(6 + x) = -7(3x + 3) -6x + (6 * -16 + x * -16) = -7(3x + 3) -6x + (-96 + -16x) = -7(3x + 3) Reorder the terms: -96 + -6x + -16x = -7(3x + 3) Combine like terms: -6x + -16x = -22x -96 + -22x = -7(3x + 3) Reorder the terms: -96 + -22x = -7(3 + 3x) -96 + -22x = (3 * -7 + 3x * -7) -96 + -22x = (-21 + -21x) Solving -96 + -22x = -21 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -96 + -22x + 21x = -21 + -21x + 21x Combine like terms: -22x + 21x = -1x -96 + -1x = -21 + -21x + 21x Combine like terms: -21x + 21x = 0 -96 + -1x = -21 + 0 -96 + -1x = -21 Add '96' to each side of the equation. -96 + 96 + -1x = -21 + 96 Combine like terms: -96 + 96 = 0 0 + -1x = -21 + 96 -1x = -21 + 96 Combine like terms: -21 + 96 = 75 -1x = 75 Divide each side by '-1'. x = -75 Simplifying x = -75
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