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Simplifying -4x + -21(x + 2) = -4(6x + 5) Reorder the terms: -4x + -21(2 + x) = -4(6x + 5) -4x + (2 * -21 + x * -21) = -4(6x + 5) -4x + (-42 + -21x) = -4(6x + 5) Reorder the terms: -42 + -4x + -21x = -4(6x + 5) Combine like terms: -4x + -21x = -25x -42 + -25x = -4(6x + 5) Reorder the terms: -42 + -25x = -4(5 + 6x) -42 + -25x = (5 * -4 + 6x * -4) -42 + -25x = (-20 + -24x) Solving -42 + -25x = -20 + -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. -42 + -25x + 24x = -20 + -24x + 24x Combine like terms: -25x + 24x = -1x -42 + -1x = -20 + -24x + 24x Combine like terms: -24x + 24x = 0 -42 + -1x = -20 + 0 -42 + -1x = -20 Add '42' to each side of the equation. -42 + 42 + -1x = -20 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = -20 + 42 -1x = -20 + 42 Combine like terms: -20 + 42 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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