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Simplifying -4x + -21(x + 7) = -8(3x + 9) Reorder the terms: -4x + -21(7 + x) = -8(3x + 9) -4x + (7 * -21 + x * -21) = -8(3x + 9) -4x + (-147 + -21x) = -8(3x + 9) Reorder the terms: -147 + -4x + -21x = -8(3x + 9) Combine like terms: -4x + -21x = -25x -147 + -25x = -8(3x + 9) Reorder the terms: -147 + -25x = -8(9 + 3x) -147 + -25x = (9 * -8 + 3x * -8) -147 + -25x = (-72 + -24x) Solving -147 + -25x = -72 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -147 + -25x + 24x = -72 + -24x + 24x Combine like terms: -25x + 24x = -1x -147 + -1x = -72 + -24x + 24x Combine like terms: -24x + 24x = 0 -147 + -1x = -72 + 0 -147 + -1x = -72 Add '147' to each side of the equation. -147 + 147 + -1x = -72 + 147 Combine like terms: -147 + 147 = 0 0 + -1x = -72 + 147 -1x = -72 + 147 Combine like terms: -72 + 147 = 75 -1x = 75 Divide each side by '-1'. x = -75 Simplifying x = -75
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