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Simplifying -5(x + 45) = -2(2x + 1) Reorder the terms: -5(45 + x) = -2(2x + 1) (45 * -5 + x * -5) = -2(2x + 1) (-225 + -5x) = -2(2x + 1) Reorder the terms: -225 + -5x = -2(1 + 2x) -225 + -5x = (1 * -2 + 2x * -2) -225 + -5x = (-2 + -4x) Solving -225 + -5x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -225 + -5x + 4x = -2 + -4x + 4x Combine like terms: -5x + 4x = -1x -225 + -1x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -225 + -1x = -2 + 0 -225 + -1x = -2 Add '225' to each side of the equation. -225 + 225 + -1x = -2 + 225 Combine like terms: -225 + 225 = 0 0 + -1x = -2 + 225 -1x = -2 + 225 Combine like terms: -2 + 225 = 223 -1x = 223 Divide each side by '-1'. x = -223 Simplifying x = -223
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